204358680 has 256 divisors, whose sum is σ = 749952000. Its totient is φ = 49268736.

The previous prime is 204358669. The next prime is 204358681. The reversal of 204358680 is 86853402.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204358681) 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, 471744 + ... + 472176.

It is an arithmetic number, because the mean of its divisors is an integer number (2929500).

Almost surely, 2^204358680 is an apocalyptic number.

204358680 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 204358680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374976000).

204358680 is an abundant number, since it is smaller than the sum of its proper divisors (545593320).

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

204358680 is a wasteful number, since it uses less digits than its factorization.

204358680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 204358680 is about 14295.4076542084. The cubic root of 204358680 is about 589.0213403006.

The spelling of 204358680 in words is "two hundred four million, three hundred fifty-eight thousand, six hundred eighty".