Natasha is the Russian diminutive of Natalia — from the Latin natale Domini ("birthday of the Lord," Christmas). Natasha Bedingfield ("Unwritten" 2004, "Pocketful of Sunshine" 2008). Natasha Kaplinsky — BBC newsreader.
Natasha 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.
In Pythagorean numerology the letters of Natasha reduce to 1, The Leader. This is a traditional interpretive system, not a factual claim about the name.