204304867200 has 576 divisors, whose sum is σ = 841324723200. Its totient is φ = 46240174080.

The previous prime is 204304867127. The next prime is 204304867201. The reversal of 204304867200 is 2768403402.

204304867200 is a `hidden beast` number, since 204 + 304 + 86 + 72 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 (204304867201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20759881 + ... + 20769719.

It is an arithmetic number, because the mean of its divisors is an integer number (1460633200).

Almost surely, 2^204304867200 is an apocalyptic number.

204304867200 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 204304867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420662361600).

204304867200 is an abundant number, since it is smaller than the sum of its proper divisors (637019856000).

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

204304867200 is a wasteful number, since it uses less digits than its factorization.

204304867200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9979 (or 9959 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 204304867200 in words is "two hundred four billion, three hundred four million, eight hundred sixty-seven thousand, two hundred".