56406375 has 56 divisors (see below), whose sum is σ = 105714960. Its totient is φ = 30034800.

The previous prime is 56406359. The next prime is 56406377. The reversal of 56406375 is 57360465.

56406375 is a `hidden beast` number, since 5 + 640 + 6 + 3 + 7 + 5 = 666.

It is not a de Polignac number, because 56406375 - 2⁴ = 56406359 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56406377) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 90816 + ... + 91434.

Almost surely, 2^56406375 is an apocalyptic number.

56406375 is a deficient number, since it is larger than the sum of its proper divisors (49308585).

56406375 is an frugal number, since it uses more digits than its factorization.

56406375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 56406375 is about 7510.4177646786. The cubic root of 56406375 is about 383.5094443885.

The spelling of 56406375 in words is "fifty-six million, four hundred six thousand, three hundred seventy-five".