204508560 has 80 divisors (see below), whose sum is σ = 640209024. Its totient is φ = 53999616.

The previous prime is 204508541. The next prime is 204508567. The reversal of 204508560 is 65805402.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×204508560² = 83647502226547200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (204508567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20584 + ... + 28856.

Almost surely, 2^204508560 is an apocalyptic number.

204508560 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 204508560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320104512).

204508560 is an abundant number, since it is smaller than the sum of its proper divisors (435700464).

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

204508560 is a wasteful number, since it uses less digits than its factorization.

204508560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8392 (or 8386 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 204508560 is about 14300.6489363245. The cubic root of 204508560 is about 589.1653044077.

The spelling of 204508560 in words is "two hundred four million, five hundred eight thousand, five hundred sixty".