249865504 has 72 divisors (see below), whose sum is σ = 602426160. Its totient is φ = 101437056.

The previous prime is 249865459. The next prime is 249865513. The reversal of 249865504 is 405568942.

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, 25599 + ... + 33985.

It is an arithmetic number, because the mean of its divisors is an integer number (8367030).

Almost surely, 2^249865504 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 249865504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301213080).

249865504 is an abundant number, since it is smaller than the sum of its proper divisors (352560656).

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

249865504 is a wasteful number, since it uses less digits than its factorization.

249865504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8430 (or 8415 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The square root of 249865504 is about 15807.1345916962. The cubic root of 249865504 is about 629.8475351218.

The spelling of 249865504 in words is "two hundred forty-nine million, eight hundred sixty-five thousand, five hundred four".