204004400 has 60 divisors (see below), whose sum is σ = 494722800. Its totient is φ = 80835840.

The previous prime is 204004379. The next prime is 204004429. The reversal of 204004400 is 4400402.

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 11 ways as a sum of consecutive naturals, for example, 41261 + ... + 45939.

It is an arithmetic number, because the mean of its divisors is an integer number (8245380).

Almost surely, 2^204004400 is an apocalyptic number.

204004400 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 204004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247361400).

204004400 is an abundant number, since it is smaller than the sum of its proper divisors (290718400).

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

204004400 is a wasteful number, since it uses less digits than its factorization.

204004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4806 (or 4795 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 204004400 is about 14283.0108870644. The cubic root of 204004400 is about 588.6807639728.

Adding to 204004400 its reverse (4400402), we get a palindrome (208404802).

The spelling of 204004400 in words is "two hundred four million, four thousand, four hundred".