Image source, Getty Images

That brings to an end our live coverage of the French presidential election - won decisively by centrist Emmanuel Macron. We hope you have enjoyed our updates.

In today's developments:

• Mr Macron will be formally sworn in as president on 14 May  
• German Chancellor Angela Merkel hailed his win, saying he had run a "courageous pro-European campaign"
• Russian President Vladimir Putin called for France and Russia to "overcome mutual mistrust"
• Anti-capitalist activists in Paris demonstrated against Mr Macron
• Mr Macron's new movement En Marche was rebranded as La République en Marche and he stepped down as leader to be replaced by Catherine Barbaroux
• The movement announced it would field 577 candidates in legislative elections, 50% of whom will be from civil society and 50% of whom will be women
• Candidates running under the En Marche banner will not have to give up their affiliation to the main parties of the left and right but will not be able to stand for two parties at the same time

Read more of the BBC's comprehensive French election coverage:

• The new president-elect vowed to "fight the forces of division" in France, after his commanding victory over Ms Le Pen
• In a stirring speech on Sunday evening he said he would do his utmost to ensure "no one had to vote for extremism again"
• This is what world leaders have been saying - and what they really think
• BBC Europe editor Katya Adler has more on what's inside "Le Big Mac", as one headline described him
• Paris correspondent Lucy Williamson looks at who could be named as Mr Macron's prime minister
• Five reasons why Macron won the French election
• The BBC's Hugh Schofield examines Mr Macron's
• Get better acquainted with Brigitte Macron, the new First Lady
• BBC Business Reporter Simon Atkinson looks at the president-elect's economic plans
• Is Mr Macron's election good or bad for Brexit?

En Marche is henceforth to be known as La République en Marche! - and the rebrand has caused a bit of confusion.

One reporter wanted to know whether it would be known by the acronym LREM or REM - but tweeted that he had not had a response along with the hashtag #LosingMyReligion, a reference to the US pop group REM's song of the same name.

Meanwhile French news agency AFP initially tweeted that the new name was La République ne Marche! - one possible translation of which would be "The republic isn't working". It quickly corrected its error and the original tweet has since been deleted.  

Image source, @AFPFR

Image source, AFP

Catherine Barbaroux, who has been named as En Marche's interim president, is a little-known figure on the French political scene. Ms Barbaroux, 67, worked in the environment and commerce ministries in the 1980s and her current post is head of a micro-credit organisation. 

The centrist won the presidential election, so what are the key issues that he will likely face as France's leader?

Mr Macron's official photographer, Soazig de la Moissonnière, has posted a few photos she has taken of the president-elect on her Twitter feed.

They include black-and-white shots of Mr Macron as he walks out to speak to supporters at the Louvre on Sunday evening before being joined on stage by his wife.

Others show Mr Macron earlier in the campaign. 

Image source, Reuters

Mr Macron's En Marche movement will field 577 candidates in June's legislative election, secretary-general Richard Ferrand says.

Half will be from civil society and half will be women, he said at a press conference.

Mr Ferrand also said that parliamentary candidates running under the En Marche banner will not be asked to quit their previous political parties (if they are from the Socialists or the Republicans) but must not have a criminal record.

However, candidates from other parties will not be able to run for both En Marche and their other party at the same time, Mr Ferrand said.

The 577 candidates will be announced before 11 May, he said.

What next for Macron after win?

Image source, getty

Image source, Getty Images

Image source, Getty Images

Police were out in force as hundreds of people led by the powerful CGT trade union joined a rally in Paris in protest against Mr Macron's planned labour reforms.

Richard Ferrand, secretary-general of Mr Macron's En Marche movement, says that Catherine Barbaroux, an experienced figure on the political scene, will be En Marche's new president.

Mr Macron has stepped down from the leadership, Mr Ferrand said.

The movement is also to be rebranded La République en Marche! - The Republic on the move - he said.

Right-wing daily Le Figaro says that on the surface Mr Macron has scored a "total triumph" and he will hope to be a "youthful reformer" in the mould of former French president Valéry Giscard d'Estaing, former US president John F Kennedy, Canadian leader Justin Trudeau or Italy's former prime minister Matteo Renzi. 

But the newspaper has a warning for his supporters:

Left-wing daily Le Mondesays, external Mr Macron's win - along with recent results in the Netherlands and Austria - shows that the far-right is not on the verge of taking power in Europe.

However, it says, there is no room for complacency because the campaign showed French society to be "balkanised" and its different factions "ever less willing to make the compromises that allow them to work together".

The newspaper says:

Left-wing daily Libération meanwhile has an editorial saying, external that while the National Front (FN) was defeated, the party has in fact scored a marked "political and cultural" victory.

This is because, says author Béligh Nabli from the Institute of International and Strategic Relations (Iris), the far-right is continuing to score better and better in successive elections and break every new "glass ceiling" that is placed in its way.

He says:

This is blurring the boundaries between established left-wing, right-wing and far-right views, he says.  

Image source, AFP/Getty

European Commission President Jean-Claude Juncker has warned Mr Macron that France is spending too much money.

Speaking in Berlin, he said:

Mr Juncker said France was using between 53% and 57% of its GDP on public spending and this could not continue given the country's "relatively high" levels of debt.

France has long suffered a stubbornly high unemployment rate of about 10%, something Mr Macron has vowed to tackle.

What are Emmanuel Macron's economic plans?

One of the youngest regional leaders of the National Front is 29-year-old Edwige Diaz in southwestern France.

She tells the BBC why she is optimistic for the future of the party despite the result.

Nice-Matin newspaper has published a photo of a 10-euro note placed in the ballot box instead of a vote by one member of the electorate.

On it, the citizen has written an eccentric note giving a somewhat reluctant endorsement to the eventual winner, Mr Macron.

The note reads: "Proud of my euros! No to francs! No to Marine! Bankers are good! No to Emmanuel but you will be a good president, Mr Macron."

On the back is a message saying that if the election officials hand the 10-euro note to Nice-Matin newspaper he will make a donation to a foundation in support of racing driver Jules Bianchi, who was from Nice and died in a crash in 2014. The voter also adds a message of support for a French second division football team.

Image source, AFP/Getty

The current French Prime Minister, Bernard Cazeneuve, has ruled himself out of any role in Mr Macron's government.

"The new president wants renewal," he said, according to Les Echos, external newspaper. "I understand that very well and I find it legitimate."

Image source, AFP

What he said: "Congratulations to Emmanuel Macron on his big win today as the next President of France. I look very much forward to working with him!"

Behind the quote: Donald Trump congratulated Emmanuel Macron in a very Trump-like way, praising his "big win". If there's one thing Mr Trump loves, it's big winners.

It's hard to believe that the president is thrilled with the results, however. Just a few weeks ago he had said French nationalist Marine Le Pen was the strongest candidate, who was tough on "radical Islamic terrorism".

A Le Pen victory would have been cited as evidence of a nativist movement sweeping the western world, validating Mr Trump's election.

Instead the president and his supporters are shrugging off the French results and eying battles to come.

What world leaders said about Macron's win - and what they think

London has more French citizens than a number of French cities. Steph McGovern has been finding out what some of them think of the result.

Angela Merkel is delighted that Mr Macron has won but now Germany faces a conundrum. 

Mr Macron wants more help for struggling eurozone economies, such as an EU fund, a eurozone tax or shared liabilities. That means primarily money from German taxpayers.

With previous French promises of economic reform unfulfilled, that’s hardly a vote winner. In a bid to revive flagging poll numbers, the Eurosceptic populist AfD party is already whipping up fears that German taxpayers will have to dig deep. 

But if Germany doesn’t help, and Mr Macron fails, the worry for Berlin is that Marine Le Pen could win next time. It’s almost an impossible choice between emboldening Eurosceptics in France or in Germany. 

Having eyed with horror the possibility of a Le Pen presidency, there is a growing awareness in Berlin of the importance of helping France and the EU. Mrs Merkel just needs to convince German voters of that. And Mr Macron will have to prove to her that he can push through reforms.

As these maps show, Mr Macron's support was strongest in Paris and western France, while Ms Le Pen's was strongest in the north-east and southern France.

But Mr Macron received less than half of the vote in just five of the country's départements (administrative areas).

Nigel Farage, an MEP for the anti-EU UKIP party, thinks Macron - passionately pro-EU - will bring "five years of failure", giving nationalist Marine Le Pen the chance to win in 2022. He had previously described the National Front candidate as "the real deal".

Another anti-EU campaigner, Geert Wilders of the Dutch Freedom Party (PVV), also addressed a morale-boosting tweet to Ms Le Pen, saying "millions of patriots" had voted for her.

Turnout was under 50% - much lower than that seen within France - but those who did vote decisively chose Mr Macron.

He got almost 90% of the 550,000 votes cast abroad - significantly more than the 65% vote share he got overall.

Ms Le Pen got just over 10% of votes cast abroad, compared to 35% overall.

Numerous big names from the world of entertainment have been praising the result on social media, and Paris Match magazine has compiled, external a few.

They include pop queen Madonna, who posted a video showing children partying in a kitchen and said "Vive la France!"

Star Wars actor Mark Hamill posted a picture of the French tricolour, as did Mia Farrow.

Singers Katy Perry and Cher and actor Ewan McGregor all congratulated France on the result.

And comedian Seth Myers went as far as saying he would begin calling chips French fries again rather than "freedom fries" - a name adopted by some in the US in 2003 after France refused to take part in the invasion of Iraq by US and UK forces.