204388080 has 160 divisors (see below), whose sum is σ = 689747520. Its totient is φ = 49766400.

The previous prime is 204388057. The next prime is 204388099. The reversal of 204388080 is 80883402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 339780 + ... + 340380.

It is an arithmetic number, because the mean of its divisors is an integer number (4310922).

Almost surely, 2^204388080 is an apocalyptic number.

204388080 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 204388080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344873760).

204388080 is an abundant number, since it is smaller than the sum of its proper divisors (485359440).

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

204388080 is a wasteful number, since it uses less digits than its factorization.

204388080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 204388080 is about 14296.4359194871. The cubic root of 204388080 is about 589.0495854055.

The spelling of 204388080 in words is "two hundred four million, three hundred eighty-eight thousand, eighty".