456084464 has 20 divisors (see below), whose sum is σ = 963997080. Its totient is φ = 207311040.

The previous prime is 456084427. The next prime is 456084469. The reversal of 456084464 is 464480654.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456084469) 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 3 ways as a sum of consecutive naturals, for example, 1295519 + ... + 1295870.

It is an arithmetic number, because the mean of its divisors is an integer number (48199854).

Almost surely, 2^456084464 is an apocalyptic number.

456084464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

456084464 is an abundant number, since it is smaller than the sum of its proper divisors (507912616).

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

456084464 is a wasteful number, since it uses less digits than its factorization.

456084464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2591408 (or 2591402 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 41.

The square root of 456084464 is about 21356.1341070897. The cubic root of 456084464 is about 769.7477466840.

The spelling of 456084464 in words is "four hundred fifty-six million, eighty-four thousand, four hundred sixty-four".