249888768 has 136 divisors (see below), whose sum is σ = 704637696. Its totient is φ = 78643200.

The previous prime is 249888731. The next prime is 249888773. The reversal of 249888768 is 867888942.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6094828 + ... + 6094868.

Almost surely, 2^249888768 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 249888768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352318848).

249888768 is an abundant number, since it is smaller than the sum of its proper divisors (454748928).

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

249888768 is an frugal number, since it uses more digits than its factorization.

249888768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 77 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 60.

The square root of 249888768 is about 15807.8704448132. The cubic root of 249888768 is about 629.8670820621.

The spelling of 249888768 in words is "two hundred forty-nine million, eight hundred eighty-eight thousand, seven hundred sixty-eight".