456608920 has 32 divisors (see below), whose sum is σ = 1060513920. Its totient is φ = 176751360.

The previous prime is 456608843. The next prime is 456608921. The reversal of 456608920 is 29806654.

It is a happy number.

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 not an unprimeable number, because it can be changed into a prime (456608921) 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, 182877 + ... + 185356.

It is an arithmetic number, because the mean of its divisors is an integer number (33141060).

Almost surely, 2^456608920 is an apocalyptic number.

456608920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456608920 is an abundant number, since it is smaller than the sum of its proper divisors (603905000).

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

456608920 is a wasteful number, since it uses less digits than its factorization.

456608920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368275 (or 368271 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 456608920 is about 21368.4093933077. The cubic root of 456608920 is about 770.0426804925.

The spelling of 456608920 in words is "four hundred fifty-six million, six hundred eight thousand, nine hundred twenty".