249996168 has 24 divisors (see below), whose sum is σ = 677073150. Its totient is φ = 83332032.

The previous prime is 249996143. The next prime is 249996193. The reversal of 249996168 is 861699942.

249996168 is a `hidden beast` number, since 2 + 499 + 96 + 1 + 68 = 666.

249996168 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 (249996143) and next prime (249996193).

It can be written as a sum of positive squares in only one way, i.e., 218389284 + 31606884 = 14778^2 + 5622^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1736013 + ... + 1736156.

Almost surely, 2^249996168 is an apocalyptic number.

It is an amenable number.

249996168 is an abundant number, since it is smaller than the sum of its proper divisors (427076982).

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

249996168 is a wasteful number, since it uses less digits than its factorization.

249996168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3472181 (or 3472174 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 249996168 is about 15811.2671218976. The cubic root of 249996168 is about 629.9573062527.

The spelling of 249996168 in words is "two hundred forty-nine million, nine hundred ninety-six thousand, one hundred sixty-eight".