450301 has 2 divisors, whose sum is σ = 450302. Its totient is φ = 450300.

The previous prime is 450299. The next prime is 450311. The reversal of 450301 is 103054.

450301 = 474² + 475².

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 225625 + 224676 = 475^2 + 474^2 .

It is a cyclic number.

It is not a de Polignac number, because 450301 - 2¹ = 450299 is a prime.

Together with 450299, it forms a pair of twin primes.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (450311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 225150 + 225151.

It is an arithmetic number, because the mean of its divisors is an integer number (225151).

2⁴⁵⁰³⁰¹ is an apocalyptic number.

450301 is the 475-th centered square number.

It is an amenable number.

450301 is a deficient number, since it is larger than the sum of its proper divisors (1).

450301 is an equidigital number, since it uses as much as digits as its factorization.

450301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 450301 is about 671.0447078996. The cubic root of 450301 is about 76.6480252934.

Subtracting from 450301 its product of nonzero digits (60), we obtain a square (450241 = 671²).

Adding to 450301 its reverse (103054), we get a palindrome (553355).

It can be divided in two parts, 4 and 50301, that added together give a palindrome (50305).

The spelling of 450301 in words is "four hundred fifty thousand, three hundred one".