249568560 has 160 divisors (see below), whose sum is σ = 879943680. Its totient is φ = 64979712.

The previous prime is 249568559. The next prime is 249568609. The reversal of 249568560 is 65865942.

249568560 is a `hidden beast` number, since 24 + 9 + 5 + 68 + 560 = 666.

It is a super-2 number, since 2×249568560² = 124568932280947200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 91537 + ... + 94223.

It is an arithmetic number, because the mean of its divisors is an integer number (5499648).

Almost surely, 2^249568560 is an apocalyptic number.

249568560 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 249568560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439971840).

249568560 is an abundant number, since it is smaller than the sum of its proper divisors (630375120).

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

249568560 is a wasteful number, since it uses less digits than its factorization.

249568560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2752 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 249568560 is about 15797.7390787416. The cubic root of 249568560 is about 629.5979293912.

The spelling of 249568560 in words is "two hundred forty-nine million, five hundred sixty-eight thousand, five hundred sixty".