457957 has 4 divisors (see below), whose sum is σ = 482080. Its totient is φ = 433836.

The previous prime is 457943. The next prime is 457979. The reversal of 457957 is 759754.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 759754 = 2 ⋅379877.

It is a cyclic number.

It is not a de Polignac number, because 457957 - 2⁷ = 457829 is a prime.

It is a super-3 number, since 3×457957³ = 288134564953339479, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457987) 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 in 3 ways as a sum of consecutive naturals, for example, 12033 + ... + 12070.

It is an arithmetic number, because the mean of its divisors is an integer number (120520).

2⁴⁵⁷⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

457957 is a deficient number, since it is larger than the sum of its proper divisors (24123).

457957 is a wasteful number, since it uses less digits than its factorization.

457957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24122.

The product of its digits is 44100, while the sum is 37.

The square root of 457957 is about 676.7252027226. The cubic root of 457957 is about 77.0799753752.

It can be divided in two parts, 4579 and 57, that multiplied together give a triangular number (261003 = T₇₂₂).

The spelling of 457957 in words is "four hundred fifty-seven thousand, nine hundred fifty-seven".