204800000 has 102 divisors (see below), whose sum is σ = 511963326. Its totient is φ = 81920000.

The previous prime is 204799951. The next prime is 204800017. The reversal of 204800000 is 8402.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

204800000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 94633984 + 110166016 = 9728^2 + 10496^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 40959998 + ... + 40960002.

Almost surely, 2^204800000 is an apocalyptic number.

204800000 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 204800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255981663).

204800000 is an abundant number, since it is smaller than the sum of its proper divisors (307163326).

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

204800000 is an frugal number, since it uses more digits than its factorization.

204800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 204800000 is about 14310.8350559987. The cubic root of 204800000 is about 589.4450397825.

204800000 divided by its product of nonzero digits (64) gives a 5-th power (3200000 = 20⁵).

Adding to 204800000 its reverse (8402), we get a palindrome (204808402).

The spelling of 204800000 in words is "two hundred four million, eight hundred thousand".