249360768 has 96 divisors (see below), whose sum is σ = 744230760. Its totient is φ = 83109888.

The previous prime is 249360767. The next prime is 249360781. The reversal of 249360768 is 867063942.

249360768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249360767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27096 + ... + 35112.

Almost surely, 2^249360768 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 249360768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372115380).

249360768 is an abundant number, since it is smaller than the sum of its proper divisors (494869992).

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

249360768 is an frugal number, since it uses more digits than its factorization.

249360768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8046 (or 8022 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 249360768 is about 15791.1610719415. The cubic root of 249360768 is about 629.4231454382.

The spelling of 249360768 in words is "two hundred forty-nine million, three hundred sixty thousand, seven hundred sixty-eight".