455960920 has 32 divisors (see below), whose sum is σ = 1039972320. Its totient is φ = 179884800.

The previous prime is 455960887. The next prime is 455960941. The reversal of 455960920 is 29069554.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75156 + ... + 80995.

It is an arithmetic number, because the mean of its divisors is an integer number (32499135).

Almost surely, 2^455960920 is an apocalyptic number.

455960920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

455960920 is an abundant number, since it is smaller than the sum of its proper divisors (584011400).

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

455960920 is a wasteful number, since it uses less digits than its factorization.

455960920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156235 (or 156231 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 40.

The square root of 455960920 is about 21353.2414401186. The cubic root of 455960920 is about 769.6782374073.

The spelling of 455960920 in words is "four hundred fifty-five million, nine hundred sixty thousand, nine hundred twenty".