456957 has 6 divisors (see below), whose sum is σ = 660062. Its totient is φ = 304632.

The previous prime is 456949. The next prime is 456959. The reversal of 456957 is 759654.

It can be written as a sum of positive squares in only one way, i.e., 427716 + 29241 = 654^2 + 171^2 .

It is not a de Polignac number, because 456957 - 2³ = 456949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 456957.

It is not an unprimeable number, because it can be changed into a prime (456959) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25378 + ... + 25395.

2⁴⁵⁶⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

456957 is a deficient number, since it is larger than the sum of its proper divisors (203105).

456957 is a wasteful number, since it uses less digits than its factorization.

456957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50779 (or 50776 counting only the distinct ones).

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

The square root of 456957 is about 675.9859465995. The cubic root of 456957 is about 77.0238302584.

The spelling of 456957 in words is "four hundred fifty-six thousand, nine hundred fifty-seven".