255724560 has 320 divisors, whose sum is σ = 1084930560. Its totient is φ = 53913600.

The previous prime is 255724541. The next prime is 255724561. The reversal of 255724560 is 65427552.

255724560 is a `hidden beast` number, since 2 + 557 + 2 + 45 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (255724561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 195910 + ... + 197210.

It is an arithmetic number, because the mean of its divisors is an integer number (3390408).

Almost surely, 2^255724560 is an apocalyptic number.

255724560 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 255724560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542465280).

255724560 is an abundant number, since it is smaller than the sum of its proper divisors (829206000).

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

255724560 is a wasteful number, since it uses less digits than its factorization.

255724560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 255724560 is about 15991.3901834706. The cubic root of 255724560 is about 634.7326131562.

The spelling of 255724560 in words is "two hundred fifty-five million, seven hundred twenty-four thousand, five hundred sixty".