456536257 has 2 divisors, whose sum is σ = 456536258. Its totient is φ = 456536256.

The previous prime is 456536243. The next prime is 456536281. The reversal of 456536257 is 752635654.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 439363521 + 17172736 = 20961^2 + 4144^2 .

It is a cyclic number.

It is not a de Polignac number, because 456536257 - 2²³ = 448147649 is a prime.

It is not a weakly prime, because it can be changed into another prime (456536557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228268128 + 228268129.

It is an arithmetic number, because the mean of its divisors is an integer number (228268129).

Almost surely, 2^456536257 is an apocalyptic number.

It is an amenable number.

456536257 is a deficient number, since it is larger than the sum of its proper divisors (1).

456536257 is an equidigital number, since it uses as much as digits as its factorization.

456536257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 756000, while the sum is 43.

The square root of 456536257 is about 21366.7090821212. The cubic root of 456536257 is about 770.0018311083.

The spelling of 456536257 in words is "four hundred fifty-six million, five hundred thirty-six thousand, two hundred fifty-seven".