204400032 has 24 divisors (see below), whose sum is σ = 536550336. Its totient is φ = 68133312.

The previous prime is 204399997. The next prime is 204400037. The reversal of 204400032 is 230004402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 204399984 and 204400020.

It is not an unprimeable number, because it can be changed into a prime (204400037) 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 3 ways as a sum of consecutive naturals, for example, 1064488 + ... + 1064679.

It is an arithmetic number, because the mean of its divisors is an integer number (22356264).

Almost surely, 2^204400032 is an apocalyptic number.

It is an amenable number.

204400032 is an abundant number, since it is smaller than the sum of its proper divisors (332150304).

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

204400032 is a wasteful number, since it uses less digits than its factorization.

204400032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129180 (or 2129172 counting only the distinct ones).

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

The square root of 204400032 is about 14296.8539196566. The cubic root of 204400032 is about 589.0610671308.

Adding to 204400032 its reverse (230004402), we get a palindrome (434404434).

The spelling of 204400032 in words is "two hundred four million, four hundred thousand, thirty-two".