249752320 has 72 divisors (see below), whose sum is σ = 612954720. Its totient is φ = 97443840.

The previous prime is 249752317. The next prime is 249752329. The reversal of 249752320 is 23257942.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (249752329) 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 7 ways as a sum of consecutive naturals, for example, 50101 + ... + 54859.

It is an arithmetic number, because the mean of its divisors is an integer number (8513260).

Almost surely, 2^249752320 is an apocalyptic number.

249752320 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 249752320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306477360).

249752320 is an abundant number, since it is smaller than the sum of its proper divisors (363202400).

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

249752320 is an equidigital number, since it uses as much as digits as its factorization.

249752320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4821 (or 4807 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 249752320 is about 15803.5540306603. The cubic root of 249752320 is about 629.7524180433.

The spelling of 249752320 in words is "two hundred forty-nine million, seven hundred fifty-two thousand, three hundred twenty".