249344224 has 48 divisors (see below), whose sum is σ = 506761920. Its totient is φ = 120706560.

The previous prime is 249344213. The next prime is 249344231. The reversal of 249344224 is 422443942.

249344224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 249344224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133054 + ... + 134914.

It is an arithmetic number, because the mean of its divisors is an integer number (10557540).

Almost surely, 2^249344224 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 249344224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253380960).

249344224 is an abundant number, since it is smaller than the sum of its proper divisors (257417696).

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

249344224 is a wasteful number, since it uses less digits than its factorization.

249344224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2003 (or 1995 counting only the distinct ones).

The product of its digits is 55296, while the sum is 34.

The square root of 249344224 is about 15790.6372259007. The cubic root of 249344224 is about 629.4092253030.

The spelling of 249344224 in words is "two hundred forty-nine million, three hundred forty-four thousand, two hundred twenty-four".