204053200 has 60 divisors (see below), whose sum is σ = 527961868. Its totient is φ = 75340800.

The previous prime is 204053183. The next prime is 204053203. The reversal of 204053200 is 2350402.

It can be written as a sum of positive squares in 6 ways, for example, as 42458256 + 161594944 = 6516^2 + 12712^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204053203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14421 + ... + 24820.

Almost surely, 2^204053200 is an apocalyptic number.

204053200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204053200 is an abundant number, since it is smaller than the sum of its proper divisors (323908668).

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

204053200 is a wasteful number, since it uses less digits than its factorization.

204053200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39272 (or 39261 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 204053200 is about 14284.7191081939. The cubic root of 204053200 is about 588.7276997758.

The spelling of 204053200 in words is "two hundred four million, fifty-three thousand, two hundred".