457957081 has 2 divisors, whose sum is σ = 457957082. Its totient is φ = 457957080.

The previous prime is 457957061. The next prime is 457957099. The reversal of 457957081 is 180759754.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 433305856 + 24651225 = 20816^2 + 4965^2 .

It is a cyclic number.

It is not a de Polignac number, because 457957081 - 2⁷ = 457956953 is a prime.

It is a super-2 number, since 2×457957081² = 419449376076081122, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (457957061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228978540 + 228978541.

It is an arithmetic number, because the mean of its divisors is an integer number (228978541).

Almost surely, 2^457957081 is an apocalyptic number.

It is an amenable number.

457957081 is a deficient number, since it is larger than the sum of its proper divisors (1).

457957081 is an equidigital number, since it uses as much as digits as its factorization.

457957081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 352800, while the sum is 46.

The square root of 457957081 is about 21399.9317989567. The cubic root of 457957081 is about 770.7997991963.

The spelling of 457957081 in words is "four hundred fifty-seven million, nine hundred fifty-seven thousand, eighty-one".