Hi

It's quite difficult to predict because cutoff keeps changing every year depending upon various factors like :-

******number of students that appeared in the  jee main exam,

****** number of available seats,

****** performance of different students in the examination,

****** the category you belong etc.

But yes,

When we go through previous year trend then

With your 447006 rank,

Yes, you can get government engineering colleges.

You have chances in  some of the government engineering colleges which are listed below along with the link for their previous year cutoff link :-

-------) Jiwaji University, Gwalior:- https://www.careers360.com/university/jiwaji-university-gwalior/cut-off

-------) Dr APJ Abdul Kalam UIT Rajiv Gandhi Proudyogiki Vishwavidyalaya, Jhabua :- https://www.careers360.com/colleges/dr-apj-abdul-kalam-uit-rajiv-gandhi-proudyogiki-vishwavidyalaya-jhabua/cut-off

------) Vikram University, Ujjain :- https://www.careers360.com/university/vikram-university-ujjain/cut-off

-------) Indira Gandhi Engineering College, Sagar :- https://www.careers360.com/colleges/indira-gandhi-engineering-college-sagar/cut-off

And more

This prediction of colleges is  based of past year data but  cut off or closing rank changes every year depending upon many factors like the number of students that give the examination, difficulty level of the JEE main  for different shifts etc so

To have a personalised report on your chances of getting a college you can go through our college predictor, it will give you complete list of colleges which you can get on the basis of the category you belong to,  your home state, your gender etc, the link for  jee main college predictor is provided below

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

To help you  further,

Minimum percentile in jee main 2021 to qualify it to  be eligible for jee advanced 2021 is given below :-

--------) general :-87.8992241 percentile

--------) EWS:- 66.2214845 percentile

--------) OBC-NCL :- 68.0234447 percentile

--------) SC :- 46.8825338 percentile

--------) ST:- 34.6728999 percentile

--------) PWD :- 0.0096375 percentile

Thank you