249959080 has 64 divisors (see below), whose sum is σ = 644400000. Its totient is φ = 85480704.

The previous prime is 249959071. The next prime is 249959089. The reversal of 249959080 is 80959942.

It is an interprime number because it is at equal distance from previous prime (249959071) and next prime (249959089).

It is a self number, because there is not a number n which added to its sum of digits gives 249959080.

It is not an unprimeable number, because it can be changed into a prime (249959089) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 138826 + ... + 140614.

It is an arithmetic number, because the mean of its divisors is an integer number (10068750).

Almost surely, 2^249959080 is an apocalyptic number.

249959080 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 249959080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322200000).

249959080 is an abundant number, since it is smaller than the sum of its proper divisors (394440920).

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

249959080 is a wasteful number, since it uses less digits than its factorization.

249959080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 46.

The square root of 249959080 is about 15810.0942438684. The cubic root of 249959080 is about 629.9261524258.

The spelling of 249959080 in words is "two hundred forty-nine million, nine hundred fifty-nine thousand, eighty".