249938688 has 72 divisors (see below), whose sum is σ = 667554048. Its totient is φ = 83018752.

The previous prime is 249938687. The next prime is 249938701. The reversal of 249938688 is 886839942.

It is a super-2 number, since 2×249938688² = 124938695518322688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249938681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 385981 + ... + 386627.

It is an arithmetic number, because the mean of its divisors is an integer number (9271584).

Almost surely, 2^249938688 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 249938688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333777024).

249938688 is an abundant number, since it is smaller than the sum of its proper divisors (417615360).

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

249938688 is an equidigital number, since it uses as much as digits as its factorization.

249938688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1155 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 57.

The square root of 249938688 is about 15809.4493262732. The cubic root of 249938688 is about 629.9090218839.

The spelling of 249938688 in words is "two hundred forty-nine million, nine hundred thirty-eight thousand, six hundred eighty-eight".