204931200 has 96 divisors (see below), whose sum is σ = 675023760. Its totient is φ = 54645760.

The previous prime is 204931187. The next prime is 204931229. The reversal of 204931200 is 2139402.

It is a tau number, because it is divible by the number of its divisors (96).

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, 1074 + ... + 20273.

Almost surely, 2^204931200 is an apocalyptic number.

204931200 is a gapful number since it is divisible by the number (20) 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 204931200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337511880).

204931200 is an abundant number, since it is smaller than the sum of its proper divisors (470092560).

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

204931200 is a wasteful number, since it uses less digits than its factorization.

204931200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21374 (or 21357 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 204931200 is about 14315.4182614411. The cubic root of 204931200 is about 589.5708839895.

The spelling of 204931200 in words is "two hundred four million, nine hundred thirty-one thousand, two hundred".