249743872 has 80 divisors (see below), whose sum is σ = 603979200. Its totient is φ = 100712448.

The previous prime is 249743869. The next prime is 249743891. The reversal of 249743872 is 278347942.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58879 + ... + 62977.

It is an arithmetic number, because the mean of its divisors is an integer number (7549740).

Almost surely, 2^249743872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249743872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301989600).

249743872 is an abundant number, since it is smaller than the sum of its proper divisors (354235328).

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

249743872 is an equidigital number, since it uses as much as digits as its factorization.

249743872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4141 (or 4125 counting only the distinct ones).

The product of its digits is 677376, while the sum is 46.

The square root of 249743872 is about 15803.2867467499. The cubic root of 249743872 is about 629.7453173973.

The spelling of 249743872 in words is "two hundred forty-nine million, seven hundred forty-three thousand, eight hundred seventy-two".