456204090 has 32 divisors (see below), whose sum is σ = 1118188800. Its totient is φ = 119065664.

The previous prime is 456204053. The next prime is 456204101. The reversal of 456204090 is 90402654.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 160365 + ... + 163184.

It is an arithmetic number, because the mean of its divisors is an integer number (34943400).

Almost surely, 2^456204090 is an apocalyptic number.

456204090 is an abundant number, since it is smaller than the sum of its proper divisors (661984710).

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

456204090 is a wasteful number, since it uses less digits than its factorization.

456204090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323606.

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 456204090 is about 21358.9346644443. The cubic root of 456204090 is about 769.8150396247.

The spelling of 456204090 in words is "four hundred fifty-six million, two hundred four thousand, ninety".