204404400 has 90 divisors (see below), whose sum is σ = 709352540. Its totient is φ = 54506880.

The previous prime is 204404399. The next prime is 204404401. The reversal of 204404400 is 4404402.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (204404399) and next prime (204404401).

It is a tau number, because it is divible by the number of its divisors (90).

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

It is not an unprimeable number, because it can be changed into a prime (204404401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24790 + ... + 31989.

Almost surely, 2^204404400 is an apocalyptic number.

204404400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204404400 is an abundant number, since it is smaller than the sum of its proper divisors (504948140).

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

204404400 is a wasteful number, since it uses less digits than its factorization.

204404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56803 (or 56789 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 204404400 is about 14297.0066797215. The cubic root of 204404400 is about 589.0652631517.

Adding to 204404400 its reverse (4404402), we get a palindrome (208808802).

The spelling of 204404400 in words is "two hundred four million, four hundred four thousand, four hundred".