204032000 has 96 divisors (see below), whose sum is σ = 509778360. Its totient is φ = 81510400.

The previous prime is 204031999. The next prime is 204032047. The reversal of 204032000 is 230402.

It can be written as a sum of positive squares in 4 ways, for example, as 58491904 + 145540096 = 7648^2 + 12064^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255602 + ... + 256398.

Almost surely, 2^204032000 is an apocalyptic number.

204032000 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 204032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254889180).

204032000 is an abundant number, since it is smaller than the sum of its proper divisors (305746360).

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

204032000 is an frugal number, since it uses more digits than its factorization.

204032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 204032000 is about 14283.9770372260. The cubic root of 204032000 is about 588.7073105513.

Adding to 204032000 its reverse (230402), we get a palindrome (204262402).

The spelling of 204032000 in words is "two hundred four million, thirty-two thousand".