249563916 has 144 divisors (see below), whose sum is σ = 765949184. Its totient is φ = 69564096.

The previous prime is 249563887. The next prime is 249563929. The reversal of 249563916 is 619365942.

249563916 is a `hidden beast` number, since 2 + 4 + 9 + 5 + 639 + 1 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 292146 + ... + 292998.

Almost surely, 2^249563916 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 249563916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382974592).

249563916 is an abundant number, since it is smaller than the sum of its proper divisors (516385268).

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

249563916 is a wasteful number, since it uses less digits than its factorization.

249563916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 908 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 249563916 is about 15797.5920949998. The cubic root of 249563916 is about 629.5940241572.

The spelling of 249563916 in words is "two hundred forty-nine million, five hundred sixty-three thousand, nine hundred sixteen".