204107904 has 512 divisors, whose sum is σ = 822528000. Its totient is φ = 48107520.

The previous prime is 204107903. The next prime is 204107909. The reversal of 204107904 is 409701402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204107903) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3459427 + ... + 3459485.

It is an arithmetic number, because the mean of its divisors is an integer number (1606500).

Almost surely, 2^204107904 is an apocalyptic number.

204107904 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 204107904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411264000).

204107904 is an abundant number, since it is smaller than the sum of its proper divisors (618420096).

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

204107904 is a wasteful number, since it uses less digits than its factorization.

204107904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 204107904 is about 14286.6337532674. The cubic root of 204107904 is about 588.7803051462.

The spelling of 204107904 in words is "two hundred four million, one hundred seven thousand, nine hundred four".