249968560 has 80 divisors (see below), whose sum is σ = 624960000. Its totient is φ = 92683008.

The previous prime is 249968539. The next prime is 249968569. The reversal of 249968560 is 65869942.

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

It is not an unprimeable number, because it can be changed into a prime (249968569) 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, 69691 + ... + 73189.

It is an arithmetic number, because the mean of its divisors is an integer number (7812000).

Almost surely, 2^249968560 is an apocalyptic number.

249968560 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 249968560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312480000).

249968560 is an abundant number, since it is smaller than the sum of its proper divisors (374991440).

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

249968560 is a wasteful number, since it uses less digits than its factorization.

249968560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3578 (or 3572 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

The square root of 249968560 is about 15810.3940494853. The cubic root of 249968560 is about 629.9341158951.

The spelling of 249968560 in words is "two hundred forty-nine million, nine hundred sixty-eight thousand, five hundred sixty".