249755968 has 112 divisors (see below), whose sum is σ = 629107200. Its totient is φ = 95546880.

The previous prime is 249755953. The next prime is 249756019. The reversal of 249755968 is 869557942.

249755968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 290323 + ... + 291181.

Almost surely, 2^249755968 is an apocalyptic number.

249755968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249755968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314553600).

249755968 is an abundant number, since it is smaller than the sum of its proper divisors (379351232).

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

249755968 is a wasteful number, since it uses less digits than its factorization.

249755968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 938 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 55.

The square root of 249755968 is about 15803.6694473151. The cubic root of 249755968 is about 629.7554841818.

The spelling of 249755968 in words is "two hundred forty-nine million, seven hundred fifty-five thousand, nine hundred sixty-eight".