204874560 has 336 divisors, whose sum is σ = 798819840. Its totient is φ = 47738880.

The previous prime is 204874559. The next prime is 204874591. The reversal of 204874560 is 65478402.

204874560 is a `hidden beast` number, since 20 + 4 + 8 + 74 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 918609 + ... + 918831.

It is an arithmetic number, because the mean of its divisors is an integer number (2377440).

Almost surely, 2^204874560 is an apocalyptic number.

204874560 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 204874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399409920).

204874560 is an abundant number, since it is smaller than the sum of its proper divisors (593945280).

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

204874560 is a wasteful number, since it uses less digits than its factorization.

204874560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 204874560 is about 14313.4398381381. The cubic root of 204874560 is about 589.5165627152.

The spelling of 204874560 in words is "two hundred four million, eight hundred seventy-four thousand, five hundred sixty".