Hayden comes from English surnames — derived from either Old English hēg-denu (hay valley) or from a Welsh personal name meaning "fire." The same surname is also Irish, from Ó hÉideáin.
Hayden entered the U.S. Today it sits in the U.S. top 400.
Hayden does not currently appear in the US Social Security Administration's top 1,000 girls' names, so we don't publish a US rank or birth count for it. That says nothing about the name's standing elsewhere in the world — only that it sits outside the ranked US data we rely on.
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In Pythagorean numerology the letters of Hayden reduce to 3, The Communicator. This is a traditional interpretive system, not a factual claim about the name.