456156420 has 48 divisors (see below), whose sum is σ = 1279158720. Its totient is φ = 121458816.

The previous prime is 456156419. The next prime is 456156431. The reversal of 456156420 is 24651654.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37179 + ... + 47901.

It is an arithmetic number, because the mean of its divisors is an integer number (26649140).

Almost surely, 2^456156420 is an apocalyptic number.

It is an amenable number.

456156420 is an abundant number, since it is smaller than the sum of its proper divisors (823002300).

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

456156420 is a wasteful number, since it uses less digits than its factorization.

456156420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11444 (or 11442 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 456156420 is about 21357.8187088476. The cubic root of 456156420 is about 769.7882253384.

The spelling of 456156420 in words is "four hundred fifty-six million, one hundred fifty-six thousand, four hundred twenty".