204332000 has 96 divisors (see below), whose sum is σ = 524107584. Its totient is φ = 78144000.

The previous prime is 204331997. The next prime is 204332003. The reversal of 204332000 is 233402.

It is an interprime number because it is at equal distance from previous prime (204331997) and next prime (204332003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204332003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90890 + ... + 93110.

It is an arithmetic number, because the mean of its divisors is an integer number (5459454).

Almost surely, 2^204332000 is an apocalyptic number.

204332000 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 204332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262053792).

204332000 is an abundant number, since it is smaller than the sum of its proper divisors (319775584).

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

204332000 is a wasteful number, since it uses less digits than its factorization.

204332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2269 (or 2251 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 204332000 is about 14294.4744569361. The cubic root of 204332000 is about 588.9957060036.

Adding to 204332000 its reverse (233402), we get a palindrome (204565402).

It can be divided in two parts, 2043 and 32000, that added together give a palindrome (34043).

The spelling of 204332000 in words is "two hundred four million, three hundred thirty-two thousand".