204009200 has 120 divisors (see below), whose sum is σ = 520093200. Its totient is φ = 76769280.

The previous prime is 204009191. The next prime is 204009227. The reversal of 204009200 is 2900402.

204009200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 498596 + ... + 499004.

It is an arithmetic number, because the mean of its divisors is an integer number (4334110).

Almost surely, 2^204009200 is an apocalyptic number.

204009200 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 204009200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260046600).

204009200 is an abundant number, since it is smaller than the sum of its proper divisors (316084000).

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

204009200 is a wasteful number, since it uses less digits than its factorization.

204009200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 204009200 is about 14283.1789178740. The cubic root of 204009200 is about 588.6853809411.

Adding to 204009200 its reverse (2900402), we get a palindrome (206909602).

The spelling of 204009200 in words is "two hundred four million, nine thousand, two hundred".