249765888 has 56 divisors (see below), whose sum is σ = 666067248. Its totient is φ = 83247104.

The previous prime is 249765871. The next prime is 249765889. The reversal of 249765888 is 888567942.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (249765889) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19495 + ... + 29657.

It is an arithmetic number, because the mean of its divisors is an integer number (11894058).

Almost surely, 2^249765888 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 249765888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333033624).

249765888 is an abundant number, since it is smaller than the sum of its proper divisors (416301360).

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

249765888 is an equidigital number, since it uses as much as digits as its factorization.

249765888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10192 (or 10168 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 57.

The square root of 249765888 is about 15803.9832953594. The cubic root of 249765888 is about 629.7638217760.

The spelling of 249765888 in words is "two hundred forty-nine million, seven hundred sixty-five thousand, eight hundred eighty-eight".