249625872 has 60 divisors (see below), whose sum is σ = 701602044. Its totient is φ = 82851840.

The previous prime is 249625867. The next prime is 249625891. The reversal of 249625872 is 278526942.

249625872 is a `hidden beast` number, since 2 + 4 + 9 + 62 + 587 + 2 = 666.

249625872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 91470096 + 158155776 = 9564^2 + 12576^2 .

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, 31108 + ... + 38300.

Almost surely, 2^249625872 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 249625872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350801022).

249625872 is an abundant number, since it is smaller than the sum of its proper divisors (451976172).

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

249625872 is a wasteful number, since it uses less digits than its factorization.

249625872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7448 (or 7439 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 249625872 is about 15799.5529050666. The cubic root of 249625872 is about 629.6461202301.

The spelling of 249625872 in words is "two hundred forty-nine million, six hundred twenty-five thousand, eight hundred seventy-two".