204800904 has 384 divisors, whose sum is σ = 764225280. Its totient is φ = 47923200.

The previous prime is 204800903. The next prime is 204800917. The reversal of 204800904 is 409008402.

It is not an unprimeable number, because it can be changed into a prime (204800903) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3864142 + ... + 3864194.

It is an arithmetic number, because the mean of its divisors is an integer number (1990170).

Almost surely, 2^204800904 is an apocalyptic number.

204800904 is a gapful number since it is divisible by the number (24) 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 204800904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382112640).

204800904 is an abundant number, since it is smaller than the sum of its proper divisors (559424376).

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

204800904 is a wasteful number, since it uses less digits than its factorization.

204800904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 204800904 is about 14310.8666404240. The cubic root of 204800904 is about 589.4459070636.

It can be divided in two parts, 204 and 800904, that added together give a palindrome (801108).

The spelling of 204800904 in words is "two hundred four million, eight hundred thousand, nine hundred four".