204802304 has 72 divisors (see below), whose sum is σ = 487616640. Its totient is φ = 83939328.

The previous prime is 204802291. The next prime is 204802333. The reversal of 204802304 is 403208402.

It is a Harshad number since it is a multiple of its sum of digits (23).

204802304 is a modest number, since divided by 2304 gives 2048 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 204802304.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38732 + ... + 43700.

Almost surely, 2^204802304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204802304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243808320).

204802304 is an abundant number, since it is smaller than the sum of its proper divisors (282814336).

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

204802304 is an equidigital number, since it uses as much as digits as its factorization.

204802304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5015 (or 5001 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 204802304 is about 14310.9155542194. The cubic root of 204802304 is about 589.4472501931.

The spelling of 204802304 in words is "two hundred four million, eight hundred two thousand, three hundred four".