Noushin is from the Persian نوشین (Nōshīn — sweet, delightful, drinkable) — from Persian nōsh (drink/nectar). Noushin is one of the Persian feminine names — central to traditional Iranian heritage. Notable bearer: Noushin Ahmadi Khorasani Iranian women's-rights activist.
Noushin 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 Noushin reduce to 1, The Leader. This is a traditional interpretive system, not a factual claim about the name.