With a score of 410, your rank might be approximately between 109937-120258 . This is an expected rank range: https://medicine.careers360.com/articles/neet-result-marks-vs-rank . Now regarding the Colleges that you may have a shot at you havent mentioned the State you hold the domicile of. This is important because various States have different cut offs.  For complete list of colleges that you may have a shot at, please use our College predictor: https://medicine.careers360.com/neet-college-predictor?