India is the English country name — from the Greek Indos (the river Indus). India is also one of the world's seven civilizational regions, home to 1.4 billion people; the subcontinent's name appears in literature from Herodotus through Kipling to Salman Rushdie's Midnight's Children (1981, Booker Prize).
India 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 India reduce to 1, The Leader. This is a traditional interpretive system, not a factual claim about the name.