456162072 has 32 divisors (see below), whose sum is σ = 1164672000. Its totient is φ = 148818464.

The previous prime is 456162067. The next prime is 456162073. The reversal of 456162072 is 270261654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456162073) 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, 201072 + ... + 203327.

It is an arithmetic number, because the mean of its divisors is an integer number (36396000).

Almost surely, 2^456162072 is an apocalyptic number.

It is an amenable number.

456162072 is an abundant number, since it is smaller than the sum of its proper divisors (708509928).

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

456162072 is a wasteful number, since it uses less digits than its factorization.

456162072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404455 (or 404451 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 456162072 is about 21357.9510253208. The cubic root of 456162072 is about 769.7914046755.

The spelling of 456162072 in words is "four hundred fifty-six million, one hundred sixty-two thousand, seventy-two".