204115200 has 108 divisors (see below), whose sum is σ = 673686048. Its totient is φ = 54425600.

The previous prime is 204115189. The next prime is 204115201. The reversal of 204115200 is 2511402.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 204115200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204115201) 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, 13885 + ... + 24515.

Almost surely, 2^204115200 is an apocalyptic number.

204115200 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 204115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336843024).

204115200 is an abundant number, since it is smaller than the sum of its proper divisors (469570848).

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

204115200 is a wasteful number, since it uses less digits than its factorization.

204115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10660 (or 10641 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 204115200 is about 14286.8890945510. The cubic root of 204115200 is about 588.7873205367.

Adding to 204115200 its reverse (2511402), we get a palindrome (206626602).

The spelling of 204115200 in words is "two hundred four million, one hundred fifteen thousand, two hundred".