456604120 has 48 divisors (see below), whose sum is σ = 1175045040. Its totient is φ = 156427392.

The previous prime is 456604117. The next prime is 456604153. The reversal of 456604120 is 21406654.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 356922 + ... + 358198.

It is an arithmetic number, because the mean of its divisors is an integer number (24480105).

Almost surely, 2^456604120 is an apocalyptic number.

456604120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456604120 is an abundant number, since it is smaller than the sum of its proper divisors (718440920).

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

456604120 is an equidigital number, since it uses as much as digits as its factorization.

456604120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 456604120 is about 21368.2970776803. The cubic root of 456604120 is about 770.0399821821.

The spelling of 456604120 in words is "four hundred fifty-six million, six hundred four thousand, one hundred twenty".