249735168 has 144 divisors (see below), whose sum is σ = 764667540. Its totient is φ = 78249984.

The previous prime is 249735149. The next prime is 249735179. The reversal of 249735168 is 861537942.

It can be written as a sum of positive squares in 2 ways, for example, as 244859904 + 4875264 = 15648^2 + 2208^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 312946 + ... + 313742.

Almost surely, 2^249735168 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 249735168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382333770).

249735168 is an abundant number, since it is smaller than the sum of its proper divisors (514932372).

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

249735168 is a wasteful number, since it uses less digits than its factorization.

249735168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 819 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 249735168 is about 15803.0113585987. The cubic root of 249735168 is about 629.7380014128.

The spelling of 249735168 in words is "two hundred forty-nine million, seven hundred thirty-five thousand, one hundred sixty-eight".