204384 has 24 divisors (see below), whose sum is σ = 536760. Its totient is φ = 68096.

The previous prime is 204377. The next prime is 204397. The reversal of 204384 is 483402.

It is a happy number.

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 204384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 969 + ... + 1160.

It is an arithmetic number, because the mean of its divisors is an integer number (22365).

2²⁰⁴³⁸⁴ is an apocalyptic number.

204384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

204384 is an abundant number, since it is smaller than the sum of its proper divisors (332376).

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

204384 is a wasteful number, since it uses less digits than its factorization.

204384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 204384 is about 452.0884869138. The cubic root of 204384 is about 58.9045665838.

Adding to 204384 its reverse (483402), we get a palindrome (687786).

The spelling of 204384 in words is "two hundred four thousand, three hundred eighty-four".