204312960 has 192 divisors, whose sum is σ = 716040000. Its totient is φ = 53673984.

The previous prime is 204312907. The next prime is 204312961. The reversal of 204312960 is 69213402.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204312961) 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, 454816 + ... + 455264.

It is an arithmetic number, because the mean of its divisors is an integer number (3729375).

Almost surely, 2^204312960 is an apocalyptic number.

204312960 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 204312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358020000).

204312960 is an abundant number, since it is smaller than the sum of its proper divisors (511727040).

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

204312960 is a wasteful number, since it uses less digits than its factorization.

204312960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 204312960 is about 14293.8084498149. The cubic root of 204312960 is about 588.9774108979.

The spelling of 204312960 in words is "two hundred four million, three hundred twelve thousand, nine hundred sixty".