204329800 has 96 divisors (see below), whose sum is σ = 529653600. Its totient is φ = 72852480.

The previous prime is 204329777. The next prime is 204329831. The reversal of 204329800 is 8923402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63019 + ... + 66181.

It is an arithmetic number, because the mean of its divisors is an integer number (5517225).

Almost surely, 2^204329800 is an apocalyptic number.

204329800 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 204329800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264826800).

204329800 is an abundant number, since it is smaller than the sum of its proper divisors (325323800).

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

204329800 is a wasteful number, since it uses less digits than its factorization.

204329800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3215 (or 3206 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 204329800 is about 14294.3975039174. The cubic root of 204329800 is about 588.9935921314.

The spelling of 204329800 in words is "two hundred four million, three hundred twenty-nine thousand, eight hundred".