56456 has 8 divisors (see below), whose sum is σ = 105870. Its totient is φ = 28224.

The previous prime is 56453. The next prime is 56467. The reversal of 56456 is 65465.

It can be written as a sum of positive squares in only one way, i.e., 28900 + 27556 = 170^2 + 166^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a nialpdrome in base 16.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3521 + ... + 3536.

2⁵⁶⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

56456 is a deficient number, since it is larger than the sum of its proper divisors (49414).

56456 is a wasteful number, since it uses less digits than its factorization.

56456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7063 (or 7059 counting only the distinct ones).

The product of its digits is 3600, while the sum is 26.

The square root of 56456 is about 237.6047137580. The cubic root of 56456 is about 38.3621878948.

Subtracting 56456 from its reverse (65465), we obtain a palindrome (9009).

It can be divided in two parts, 56 and 456, that added together give a 9-th power (512 = 2⁹).

The spelling of 56456 in words is "fifty-six thousand, four hundred fifty-six".