204688400 has 120 divisors (see below), whose sum is σ = 576046464. Its totient is φ = 68428800.

The previous prime is 204688399. The next prime is 204688427. The reversal of 204688400 is 4886402.

204688400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113909 + ... + 115691.

Almost surely, 2^204688400 is an apocalyptic number.

204688400 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 204688400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288023232).

204688400 is an abundant number, since it is smaller than the sum of its proper divisors (371358064).

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

204688400 is a wasteful number, since it uses less digits than its factorization.

204688400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1849 (or 1838 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 204688400 is about 14306.9353811360. The cubic root of 204688400 is about 589.3379531634.

The spelling of 204688400 in words is "two hundred four million, six hundred eighty-eight thousand, four hundred".