249323520 has 112 divisors (see below), whose sum is σ = 798179760. Its totient is φ = 66453504.

The previous prime is 249323509. The next prime is 249323533. The reversal of 249323520 is 25323942.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 16.

It is a congruent number.

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, 121866 + ... + 123894.

It is an arithmetic number, because the mean of its divisors is an integer number (7126605).

Almost surely, 2^249323520 is an apocalyptic number.

249323520 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 249323520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399089880).

249323520 is an abundant number, since it is smaller than the sum of its proper divisors (548856240).

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

249323520 is an equidigital number, since it uses as much as digits as its factorization.

249323520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 249323520 is about 15789.9816339349. The cubic root of 249323520 is about 629.3918040729.

The spelling of 249323520 in words is "two hundred forty-nine million, three hundred twenty-three thousand, five hundred twenty".