465957 has 12 divisors (see below), whose sum is σ = 702624. Its totient is φ = 297000.

The previous prime is 465947. The next prime is 465977. The reversal of 465957 is 759564.

It is not a de Polignac number, because 465957 - 2⁶ = 465893 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465917) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 919 + ... + 1332.

It is an arithmetic number, because the mean of its divisors is an integer number (58552).

2⁴⁶⁵⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

465957 is a deficient number, since it is larger than the sum of its proper divisors (236667).

465957 is a wasteful number, since it uses less digits than its factorization.

465957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280 (or 2277 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 465957 is about 682.6104306264. The cubic root of 465957 is about 77.5262207496.

The spelling of 465957 in words is "four hundred sixty-five thousand, nine hundred fifty-seven".