Hello Dear,

As the percentile mentioned by you your General AIR rank must be between 573996 - 400110. Your category rank will be much less. There is a chance that you can get Home state NIT/IIIT on your rank. For more information you can check the list below:

https://engineering.careers360.com/articles/jee-main-cutoff

but as you know cut off depends upon the number of seats available, the difficulty level of paper and number of candidates writing the examination. And, hence varies every year depending on these factors. You have not mentioned your home state so the chances are very less. You can check the rank vs percentile vs marks below:

https://engineering.careers360.com/articles/jee-main-marks-vs-percentile

You can check our predictors link to know more about the college which you can get

https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer

Good Luck