Hello
You have not mentioned which minority or state you belong to.
Anyways, with 405 marks your chances of getting a decent government college in your state through state quota(85%) are quite high.
As the admission to medical colleges based on NEET is given under All India Quota(15%) and state quota(85%).
However cutoffs change every year depending upon level of toughness of exam. So hope for the best and follow the counselling process.

Follow this link to better predict your college-
https://medicine.careers360.com/neet-college-predictor
Good luck