204320400 has 60 divisors (see below), whose sum is σ = 654510192. Its totient is φ = 54485120.

The previous prime is 204320393. The next prime is 204320419. The reversal of 204320400 is 4023402.

It is a happy number.

204320400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

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 204320400.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 83934 + ... + 86333.

Almost surely, 2^204320400 is an apocalyptic number.

204320400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204320400 is an abundant number, since it is smaller than the sum of its proper divisors (450189792).

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

204320400 is a wasteful number, since it uses less digits than its factorization.

204320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170288 (or 170277 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 204320400 is about 14294.0686999888. The cubic root of 204320400 is about 588.9845599611.

Adding to 204320400 its reverse (4023402), we get a palindrome (208343802).

The spelling of 204320400 in words is "two hundred four million, three hundred twenty thousand, four hundred".