249067872 has 120 divisors (see below), whose sum is σ = 737235576. Its totient is φ = 82487808.

The previous prime is 249067823. The next prime is 249067883. The reversal of 249067872 is 278760942.

249067872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 795588 + ... + 795900.

Almost surely, 2^249067872 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 249067872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368617788).

249067872 is an abundant number, since it is smaller than the sum of its proper divisors (488167704).

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

249067872 is a wasteful number, since it uses less digits than its factorization.

249067872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 249067872 is about 15781.8842981439. The cubic root of 249067872 is about 629.1766114027.

The spelling of 249067872 in words is "two hundred forty-nine million, sixty-seven thousand, eight hundred seventy-two".