249229248 has 112 divisors (see below), whose sum is σ = 722558880. Its totient is φ = 75464704.

The previous prime is 249229237. The next prime is 249229261. The reversal of 249229248 is 842922942.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93340 + ... + 95972.

Almost surely, 2^249229248 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 249229248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361279440).

249229248 is an abundant number, since it is smaller than the sum of its proper divisors (473329632).

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

249229248 is a wasteful number, since it uses less digits than its factorization.

249229248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2694 (or 2684 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 249229248 is about 15786.9961677325. The cubic root of 249229248 is about 629.3124673889.

The spelling of 249229248 in words is "two hundred forty-nine million, two hundred twenty-nine thousand, two hundred forty-eight".