204330400 has 36 divisors (see below), whose sum is σ = 498823542. Its totient is φ = 81731840.

The previous prime is 204330397. The next prime is 204330407. The reversal of 204330400 is 4033402.

It can be written as a sum of positive squares in 3 ways, for example, as 157051024 + 47279376 = 12532^2 + 6876^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (204330407) 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 5 ways as a sum of consecutive naturals, for example, 126907 + ... + 128506.

Almost surely, 2^204330400 is an apocalyptic number.

204330400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204330400 is an abundant number, since it is smaller than the sum of its proper divisors (294493142).

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

204330400 is a wasteful number, since it uses less digits than its factorization.

204330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255433 (or 255420 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 204330400 is about 14294.4184911454. The cubic root of 204330400 is about 588.9941686435.

Adding to 204330400 its reverse (4033402), we get a palindrome (208363802).

The spelling of 204330400 in words is "two hundred four million, three hundred thirty thousand, four hundred".