204004680 has 128 divisors (see below), whose sum is σ = 685860480. Its totient is φ = 48107520.

The previous prime is 204004639. The next prime is 204004741. The reversal of 204004680 is 86400402.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 204004680.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46752 + ... + 50928.

It is an arithmetic number, because the mean of its divisors is an integer number (5358285).

Almost surely, 2^204004680 is an apocalyptic number.

204004680 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 204004680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342930240).

204004680 is an abundant number, since it is smaller than the sum of its proper divisors (481855800).

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

204004680 is a wasteful number, since it uses less digits than its factorization.

204004680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4239 (or 4235 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 204004680 is about 14283.0206889159. The cubic root of 204004680 is about 588.6810332980.

The spelling of 204004680 in words is "two hundred four million, four thousand, six hundred eighty".