456386756 has 12 divisors (see below), whose sum is σ = 912773568. Its totient is φ = 195594312.

The previous prime is 456386753. The next prime is 456386803. The reversal of 456386756 is 657683654.

456386756 is an admirable number.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (456386753) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8149736 + ... + 8149791.

It is an arithmetic number, because the mean of its divisors is an integer number (76064464).

Almost surely, 2^456386756 is an apocalyptic number.

It is an amenable number.

456386756 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

456386756 is a wasteful number, since it uses less digits than its factorization.

456386756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16299538 (or 16299536 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 50.

The square root of 456386756 is about 21363.2103392725. The cubic root of 456386756 is about 769.9177716206.

It can be divided in two parts, 4563 and 86756, that added together give a palindrome (91319).

The spelling of 456386756 in words is "four hundred fifty-six million, three hundred eighty-six thousand, seven hundred fifty-six".