450257 has 2 divisors, whose sum is σ = 450258. Its totient is φ = 450256.

The previous prime is 450239. The next prime is 450259. The reversal of 450257 is 752054.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 450241 + 16 = 671^2 + 4^2 .

It is a cyclic number.

It is not a de Polignac number, because 450257 - 2⁶ = 450193 is a prime.

Together with 450259, it forms a pair of twin primes.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 450257.

It is not a weakly prime, because it can be changed into another prime (450259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 225128 + 225129.

It is an arithmetic number, because the mean of its divisors is an integer number (225129).

2⁴⁵⁰²⁵⁷ is an apocalyptic number.

It is an amenable number.

450257 is a deficient number, since it is larger than the sum of its proper divisors (1).

450257 is an equidigital number, since it uses as much as digits as its factorization.

450257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1400, while the sum is 23.

The square root of 450257 is about 671.0119223978. The cubic root of 450257 is about 76.6455287241.

It can be divided in two parts, 450 and 257, that added together give a palindrome (707).

The spelling of 450257 in words is "four hundred fifty thousand, two hundred fifty-seven".