249968352 has 96 divisors (see below), whose sum is σ = 678712608. Its totient is φ = 80510976.

The previous prime is 249968339. The next prime is 249968353. The reversal of 249968352 is 253869942.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249968353) 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, 371088 + ... + 371760.

It is an arithmetic number, because the mean of its divisors is an integer number (7069923).

Almost surely, 2^249968352 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 249968352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339356304).

249968352 is an abundant number, since it is smaller than the sum of its proper divisors (428744256).

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

249968352 is a wasteful number, since it uses less digits than its factorization.

249968352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 804 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The square root of 249968352 is about 15810.3874715328. The cubic root of 249968352 is about 629.9339411714.

The spelling of 249968352 in words is "two hundred forty-nine million, nine hundred sixty-eight thousand, three hundred fifty-two".