204986304 has 84 divisors (see below), whose sum is σ = 613141776. Its totient is φ = 65353728.

The previous prime is 204986279. The next prime is 204986329. The reversal of 204986304 is 403689402.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (204986279) and next prime (204986329).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5512 + ... + 20984.

Almost surely, 2^204986304 is an apocalyptic number.

204986304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204986304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306570888).

204986304 is an abundant number, since it is smaller than the sum of its proper divisors (408155472).

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

204986304 is a wasteful number, since it uses less digits than its factorization.

204986304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15514 (or 15501 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 204986304 is about 14317.3427702210. The cubic root of 204986304 is about 589.6237225398.

The spelling of 204986304 in words is "two hundred four million, nine hundred eighty-six thousand, three hundred four".