204384960 has 336 divisors, whose sum is σ = 778849344. Its totient is φ = 48881664.

The previous prime is 204384899. The next prime is 204384967. The reversal of 204384960 is 69483402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (204384967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1984269 + ... + 1984371.

It is an arithmetic number, because the mean of its divisors is an integer number (2318004).

Almost surely, 2^204384960 is an apocalyptic number.

204384960 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 204384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389424672).

204384960 is an abundant number, since it is smaller than the sum of its proper divisors (574464384).

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

204384960 is a wasteful number, since it uses less digits than its factorization.

204384960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 204384960 is about 14296.3268009653. The cubic root of 204384960 is about 589.0465880942.

The spelling of 204384960 in words is "two hundred four million, three hundred eighty-four thousand, nine hundred sixty".