249040968 has 64 divisors (see below), whose sum is σ = 693688320. Its totient is φ = 73857600.

The previous prime is 249040933. The next prime is 249041021. The reversal of 249040968 is 869040942.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2373 + ... + 22443.

It is an arithmetic number, because the mean of its divisors is an integer number (10838880).

Almost surely, 2^249040968 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 249040968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346844160).

249040968 is an abundant number, since it is smaller than the sum of its proper divisors (444647352).

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

249040968 is a wasteful number, since it uses less digits than its factorization.

249040968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20138 (or 20134 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 249040968 is about 15781.0319054237. The cubic root of 249040968 is about 629.1539562968.

The spelling of 249040968 in words is "two hundred forty-nine million, forty thousand, nine hundred sixty-eight".