204868500 has 96 divisors (see below), whose sum is σ = 606627840. Its totient is φ = 53712000.

The previous prime is 204868487. The next prime is 204868529. The reversal of 204868500 is 5868402.

It is a super-2 number, since 2×204868500² = 83942204584500000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 90381 + ... + 92619.

It is an arithmetic number, because the mean of its divisors is an integer number (6319040).

Almost surely, 2^204868500 is an apocalyptic number.

204868500 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 204868500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303313920).

204868500 is an abundant number, since it is smaller than the sum of its proper divisors (401759340).

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

204868500 is a wasteful number, since it uses less digits than its factorization.

204868500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2322 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 204868500 is about 14313.2281474166. The cubic root of 204868500 is about 589.5107502063.

The spelling of 204868500 in words is "two hundred four million, eight hundred sixty-eight thousand, five hundred".