249048352 has 96 divisors (see below), whose sum is σ = 595123200. Its totient is φ = 100217088.

The previous prime is 249048343. The next prime is 249048353. The reversal of 249048352 is 253840942.

It is a happy number.

249048352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (249048353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 693549 + ... + 693907.

It is an arithmetic number, because the mean of its divisors is an integer number (6199200).

Almost surely, 2^249048352 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 249048352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297561600).

249048352 is an abundant number, since it is smaller than the sum of its proper divisors (346074848).

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

249048352 is a wasteful number, since it uses less digits than its factorization.

249048352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 249048352 is about 15781.2658554376. The cubic root of 249048352 is about 629.1601743191.

The spelling of 249048352 in words is "two hundred forty-nine million, forty-eight thousand, three hundred fifty-two".