204330 has 48 divisors (see below), whose sum is σ = 574560. Its totient is φ = 46368.

The previous prime is 204329. The next prime is 204331. The reversal of 204330 is 33402.

204330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (204329) and next prime (204331).

It is not an unprimeable number, because it can be changed into a prime (204331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1401 + ... + 1539.

It is an arithmetic number, because the mean of its divisors is an integer number (11970).

2²⁰⁴³³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287280).

204330 is an abundant number, since it is smaller than the sum of its proper divisors (370230).

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

204330 is a wasteful number, since it uses less digits than its factorization.

204330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 204330 is about 452.0287601470. The cubic root of 204330 is about 58.8993784302.

Adding to 204330 its product of nonzero digits (72), we get a palindrome (204402).

Adding to 204330 its reverse (33402), we get a palindrome (237732).

The spelling of 204330 in words is "two hundred four thousand, three hundred thirty".