204525200 has 240 divisors, whose sum is σ = 584534016. Its totient is φ = 68006400.

The previous prime is 204525199. The next prime is 204525241. The reversal of 204525200 is 2525402.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4351577 + ... + 4351623.

Almost surely, 2^204525200 is an apocalyptic number.

204525200 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 204525200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292267008).

204525200 is an abundant number, since it is smaller than the sum of its proper divisors (380008816).

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

204525200 is a wasteful number, since it uses less digits than its factorization.

204525200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 204525200 is about 14301.2307162705. The cubic root of 204525200 is about 589.1812832739.

It can be divided in two parts, 20452 and 5200, that added together give a palindrome (25652).

The spelling of 204525200 in words is "two hundred four million, five hundred twenty-five thousand, two hundred".