249452960 has 48 divisors (see below), whose sum is σ = 595445256. Its totient is φ = 98746368.

The previous prime is 249452941. The next prime is 249452981. The reversal of 249452960 is 69254942.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 155052304 + 94400656 = 12452^2 + 9716^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7484 + ... + 23556.

Almost surely, 2^249452960 is an apocalyptic number.

249452960 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 249452960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297722628).

249452960 is an abundant number, since it is smaller than the sum of its proper divisors (345992296).

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

249452960 is a wasteful number, since it uses less digits than its factorization.

249452960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16185 (or 16177 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The square root of 249452960 is about 15794.0799035588. The cubic root of 249452960 is about 629.5007045899.

The spelling of 249452960 in words is "two hundred forty-nine million, four hundred fifty-two thousand, nine hundred sixty".