249975968 has 48 divisors (see below), whose sum is σ = 541979424. Its totient is φ = 112546560.

The previous prime is 249975967. The next prime is 249976003. The reversal of 249975968 is 869579942.

249975968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (249975967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34346 + ... + 40982.

It is an arithmetic number, because the mean of its divisors is an integer number (11291238).

Almost surely, 2^249975968 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 249975968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270989712).

249975968 is an abundant number, since it is smaller than the sum of its proper divisors (292003456).

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

249975968 is a wasteful number, since it uses less digits than its factorization.

249975968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6765 (or 6757 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 59.

The square root of 249975968 is about 15810.6283240104. The cubic root of 249975968 is about 629.9403386855.

The spelling of 249975968 in words is "two hundred forty-nine million, nine hundred seventy-five thousand, nine hundred sixty-eight".