249991560 has 288 divisors, whose sum is σ = 1007173440. Its totient is φ = 52655616.

The previous prime is 249991529. The next prime is 249991583. The reversal of 249991560 is 65199942.

249991560 is a `hidden beast` number, since 2 + 499 + 9 + 156 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 425587 + ... + 426173.

It is an arithmetic number, because the mean of its divisors is an integer number (3497130).

Almost surely, 2^249991560 is an apocalyptic number.

249991560 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 249991560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503586720).

249991560 is an abundant number, since it is smaller than the sum of its proper divisors (757181880).

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

249991560 is a wasteful number, since it uses less digits than its factorization.

249991560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 249991560 is about 15811.1214023547. The cubic root of 249991560 is about 629.9534357119.

The spelling of 249991560 in words is "two hundred forty-nine million, nine hundred ninety-one thousand, five hundred sixty".