249306768 has 160 divisors (see below), whose sum is σ = 768700800. Its totient is φ = 77082624.

The previous prime is 249306767. The next prime is 249306769. The reversal of 249306768 is 867603942.

249306768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (249306767) and next prime (249306769).

It is not an unprimeable number, because it can be changed into a prime (249306763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 609348 + ... + 609756.

It is an arithmetic number, because the mean of its divisors is an integer number (4804380).

Almost surely, 2^249306768 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 249306768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384350400).

249306768 is an abundant number, since it is smaller than the sum of its proper divisors (519394032).

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

249306768 is a wasteful number, since it uses less digits than its factorization.

249306768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 514 counting only the distinct ones).

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

The square root of 249306768 is about 15789.4511620892. The cubic root of 249306768 is about 629.3777075186.

The spelling of 249306768 in words is "two hundred forty-nine million, three hundred six thousand, seven hundred sixty-eight".