Hello,
At NEET score of 409 your Overall Percentile will be around 90.56 - 91.06 and your NEET Rank will be around 129705 - 161855.
You have  chances of getting admission into top medical colleges of your state at this score.

The colleges you might getting are:-

DR PATNAM MAHENDER REDDY INST OF MED SCI, CHEVELLA

MAHAVIR INST OF MED SCI, VIKARABAD

RVM MEDICAL COLLEGE, MULUGU

SURABHI INST OF MED SCI, SIDDIPET

S.V.S. MEDICAL COLLEGE, MAHABUBNAGAR etc

You can use careers360 college predictor to know the colleges you can get at your NEET score;-

https://medicine.careers360.com/neet-college-predictor

You can follow the link below for more NEET related updates:- https://news.careers360.com/neet-2020-live-updates-exam-analysis-answer-keys-student-reaction#:~:text=As%20Careers360%20is%20going%20to,as%20it%20will%20be%20available.&text=On%20the%20basis%20of%20performance,offered%20in%20colleges%20of%20India.

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With a score of 409, 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 have a chance in KIMS. Now this is based on 2019 data and cut offs change every year. Cut offs change every year depending on various factors such as no.of Candidates appearing for the exam, no.of Candidates qualified, top NEET score and difficulty of the exam. For complete list of colleges that you may have a shot at, please use our College predictor: https://medicine.careers360.com/neet-college-predictor?