456079488 has 32 divisors (see below), whose sum is σ = 1211462160. Its totient is φ = 152026368.

The previous prime is 456079487. The next prime is 456079511. The reversal of 456079488 is 884970654.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 456079488.

It is not an unprimeable number, because it can be changed into a prime (456079487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 593470 + ... + 594237.

Almost surely, 2^456079488 is an apocalyptic number.

456079488 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

456079488 is an abundant number, since it is smaller than the sum of its proper divisors (755382672).

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

456079488 is a wasteful number, since it uses less digits than its factorization.

456079488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187724 (or 1187712 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The square root of 456079488 is about 21356.0176062861. The cubic root of 456079488 is about 769.7449472911.

It can be divided in two parts, 4560 and 79488, that added together give a palindrome (84048).

The spelling of 456079488 in words is "four hundred fifty-six million, seventy-nine thousand, four hundred eighty-eight".