456090492 has 48 divisors (see below), whose sum is σ = 1250266752. Its totient is φ = 127577280.

The previous prime is 456090469. The next prime is 456090521. The reversal of 456090492 is 294090654.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 456090492.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131178 + ... + 134609.

It is an arithmetic number, because the mean of its divisors is an integer number (26047224).

Almost surely, 2^456090492 is an apocalyptic number.

It is an amenable number.

456090492 is an abundant number, since it is smaller than the sum of its proper divisors (794176260).

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

456090492 is a wasteful number, since it uses less digits than its factorization.

456090492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265818 (or 265816 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 456090492 is about 21356.2752370351. The cubic root of 456090492 is about 769.7511378825.

The spelling of 456090492 in words is "four hundred fifty-six million, ninety thousand, four hundred ninety-two".