204404200 has 192 divisors, whose sum is σ = 638709120. Its totient is φ = 58752000.

The previous prime is 204404191. The next prime is 204404219. The reversal of 204404200 is 2404402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199690 + ... + 200710.

It is an arithmetic number, because the mean of its divisors is an integer number (3326610).

Almost surely, 2^204404200 is an apocalyptic number.

204404200 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 204404200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319354560).

204404200 is an abundant number, since it is smaller than the sum of its proper divisors (434304920).

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

204404200 is a wasteful number, since it uses less digits than its factorization.

204404200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 204404200 is about 14296.9996852487. Note that the first 3 decimals coincide. The cubic root of 204404200 is about 589.0650710275.

Adding to 204404200 its reverse (2404402), we get a palindrome (206808602).

It can be divided in two parts, 204 and 404200, that added together give a palindrome (404404).

The spelling of 204404200 in words is "two hundred four million, four hundred four thousand, two hundred".