204013200 has 120 divisors (see below), whose sum is σ = 657600768. Its totient is φ = 54064640.

The previous prime is 204013193. The next prime is 204013207. The reversal of 204013200 is 2310402.

It is an interprime number because it is at equal distance from previous prime (204013193) and next prime (204013207).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (204013207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235969 + ... + 236831.

Almost surely, 2^204013200 is an apocalyptic number.

204013200 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 204013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328800384).

204013200 is an abundant number, since it is smaller than the sum of its proper divisors (453587568).

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

204013200 is a wasteful number, since it uses less digits than its factorization.

204013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 204013200 is about 14283.3189420386. The cubic root of 204013200 is about 588.6892283593.

Adding to 204013200 its reverse (2310402), we get a palindrome (206323602).

The spelling of 204013200 in words is "two hundred four million, thirteen thousand, two hundred".