249931920 has 160 divisors (see below), whose sum is σ = 914227200. Its totient is φ = 55272960.

The previous prime is 249931907. The next prime is 249931937. The reversal of 249931920 is 29139942.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 49681 + ... + 54479.

It is an arithmetic number, because the mean of its divisors is an integer number (5713920).

Almost surely, 2^249931920 is an apocalyptic number.

249931920 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 249931920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457113600).

249931920 is an abundant number, since it is smaller than the sum of its proper divisors (664295280).

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

249931920 is a wasteful number, since it uses less digits than its factorization.

249931920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4853 (or 4847 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 249931920 is about 15809.2352756229. The cubic root of 249931920 is about 629.9033361392.

The spelling of 249931920 in words is "two hundred forty-nine million, nine hundred thirty-one thousand, nine hundred twenty".