204340800 has 84 divisors (see below), whose sum is σ = 670423856. Its totient is φ = 54489600.

The previous prime is 204340783. The next prime is 204340849. The reversal of 204340800 is 8043402.

It is a happy number.

204340800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 16486 + ... + 26085.

Almost surely, 2^204340800 is an apocalyptic number.

204340800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204340800 is an abundant number, since it is smaller than the sum of its proper divisors (466083056).

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

204340800 is a wasteful number, since it uses less digits than its factorization.

204340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42596 (or 42581 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 204340800 is about 14294.7822648685. The cubic root of 204340800 is about 589.0041613407.

The spelling of 204340800 in words is "two hundred four million, three hundred forty thousand, eight hundred".