204825600 has 396 divisors, whose sum is σ = 844739584. Its totient is φ = 46448640.

The previous prime is 204825581. The next prime is 204825601. The reversal of 204825600 is 6528402.

204825600 is a `hidden beast` number, since 20 + 4 + 82 + 560 + 0 = 666.

204825600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204825601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1612737 + ... + 1612863.

Almost surely, 2^204825600 is an apocalyptic number.

204825600 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 204825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422369792).

204825600 is an abundant number, since it is smaller than the sum of its proper divisors (639913984).

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

204825600 is a wasteful number, since it uses less digits than its factorization.

204825600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 204825600 is about 14311.7294552406. The cubic root of 204825600 is about 589.4695989692.

The spelling of 204825600 in words is "two hundred four million, eight hundred twenty-five thousand, six hundred".