56457 has 20 divisors (see below), whose sum is σ = 91476. Its totient is φ = 34560.

The previous prime is 56453. The next prime is 56467. The reversal of 56457 is 75465.

56457 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 20736 + 35721 = 144^2 + 189^2 .

It is not a de Polignac number, because 56457 - 2² = 56453 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (4200) is a multiple of the sum of its prime factors (70).

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 56457.

It is not an unprimeable number, because it can be changed into a prime (56453) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1357 + ... + 1397.

2⁵⁶⁴⁵⁷ is an apocalyptic number.

It is an amenable number.

56457 is a deficient number, since it is larger than the sum of its proper divisors (35019).

56457 is a wasteful number, since it uses less digits than its factorization.

56457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 61 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 56457 is about 237.6068180840. The cubic root of 56457 is about 38.3624143954.

The spelling of 56457 in words is "fifty-six thousand, four hundred fifty-seven".