456996804 has 48 divisors (see below), whose sum is σ = 1165280256. Its totient is φ = 138244000.

The previous prime is 456996781. The next prime is 456996809. The reversal of 456996804 is 408699654.

It is not an unprimeable number, because it can be changed into a prime (456996809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82729 + ... + 88079.

It is an arithmetic number, because the mean of its divisors is an integer number (24276672).

Almost surely, 2^456996804 is an apocalyptic number.

456996804 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

456996804 is an abundant number, since it is smaller than the sum of its proper divisors (708283452).

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

456996804 is a wasteful number, since it uses less digits than its factorization.

456996804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6016 (or 6014 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The square root of 456996804 is about 21377.4835750142. The cubic root of 456996804 is about 770.2606662309.

The spelling of 456996804 in words is "four hundred fifty-six million, nine hundred ninety-six thousand, eight hundred four".