204408960 has 256 divisors, whose sum is σ = 759075840. Its totient is φ = 45821952.

The previous prime is 204408949. The next prime is 204408991. The reversal of 204408960 is 69804402.

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, 900367 + ... + 900593.

It is an arithmetic number, because the mean of its divisors is an integer number (2965140).

Almost surely, 2^204408960 is an apocalyptic number.

204408960 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 204408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379537920).

204408960 is an abundant number, since it is smaller than the sum of its proper divisors (554666880).

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

204408960 is a wasteful number, since it uses less digits than its factorization.

204408960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 204408960 is about 14297.1661527731. The cubic root of 204408960 is about 589.0696435493.

The spelling of 204408960 in words is "two hundred four million, four hundred eight thousand, nine hundred sixty".