456395912406 has 72 divisors (see below), whose sum is σ = 1150434511200. Its totient is φ = 130384035936.

The previous prime is 456395912389. The next prime is 456395912417. The reversal of 456395912406 is 604219593654.

456395912406 is a `hidden beast` number, since 4 + 5 + 6 + 3 + 9 + 591 + 2 + 40 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9500760 + ... + 9548676.

It is an arithmetic number, because the mean of its divisors is an integer number (15978257100).

Almost surely, 2^456395912406 is an apocalyptic number.

456395912406 is an abundant number, since it is smaller than the sum of its proper divisors (694038598794).

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

456395912406 is a wasteful number, since it uses less digits than its factorization.

456395912406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58738 (or 58728 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 456395912406 in words is "four hundred fifty-six billion, three hundred ninety-five million, nine hundred twelve thousand, four hundred six".