456084320 has 48 divisors (see below), whose sum is σ = 1079422848. Its totient is φ = 182108160.

The previous prime is 456084257. The next prime is 456084323. The reversal of 456084320 is 23480654.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456084323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100337 + ... + 104783.

It is an arithmetic number, because the mean of its divisors is an integer number (22487976).

Almost surely, 2^456084320 is an apocalyptic number.

456084320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456084320 is an abundant number, since it is smaller than the sum of its proper divisors (623338528).

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

456084320 is a wasteful number, since it uses less digits than its factorization.

456084320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5103 (or 5095 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 456084320 is about 21356.1307356927. The cubic root of 456084320 is about 769.7476656729.

The spelling of 456084320 in words is "four hundred fifty-six million, eighty-four thousand, three hundred twenty".