249016896 has 112 divisors (see below), whose sum is σ = 746150400. Its totient is φ = 81409536.

The previous prime is 249016871. The next prime is 249016921. The reversal of 249016896 is 698610942.

It is a happy number.

249016896 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 (249016871) and next prime (249016921).

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, 90225 + ... + 92943.

Almost surely, 2^249016896 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 249016896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373075200).

249016896 is an abundant number, since it is smaller than the sum of its proper divisors (497133504).

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

249016896 is a wasteful number, since it uses less digits than its factorization.

249016896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2793 (or 2777 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 249016896 is about 15780.2691992247. The cubic root of 249016896 is about 629.1336845558.

The spelling of 249016896 in words is "two hundred forty-nine million, sixteen thousand, eight hundred ninety-six".