456573920 has 96 divisors (see below), whose sum is σ = 1227985920. Its totient is φ = 158794240.

The previous prime is 456573911. The next prime is 456573961. The reversal of 456573920 is 29375654.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34841 + ... + 46119.

It is an arithmetic number, because the mean of its divisors is an integer number (12791520).

Almost surely, 2^456573920 is an apocalyptic number.

456573920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456573920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613992960).

456573920 is an abundant number, since it is smaller than the sum of its proper divisors (771412000).

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

456573920 is a wasteful number, since it uses less digits than its factorization.

456573920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11328 (or 11320 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 41.

The square root of 456573920 is about 21367.5904116491. The cubic root of 456573920 is about 770.0230048786.

The spelling of 456573920 in words is "four hundred fifty-six million, five hundred seventy-three thousand, nine hundred twenty".