204800400 has 540 divisors, whose sum is σ = 877308432. Its totient is φ = 45722880.

The previous prime is 204800399. The next prime is 204800429. The reversal of 204800400 is 4008402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4762779 + ... + 4762821.

Almost surely, 2^204800400 is an apocalyptic number.

204800400 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 204800400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438654216).

204800400 is an abundant number, since it is smaller than the sum of its proper divisors (672508032).

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

204800400 is a wasteful number, since it uses less digits than its factorization.

204800400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 204800400 is about 14310.8490314167. The cubic root of 204800400 is about 589.4454235355.

Adding to 204800400 its reverse (4008402), we get a palindrome (208808802).

The spelling of 204800400 in words is "two hundred four million, eight hundred thousand, four hundred".