249646968 has 128 divisors (see below), whose sum is σ = 747417600. Its totient is φ = 76982400.

The previous prime is 249646931. The next prime is 249646981. The reversal of 249646968 is 869646942.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153198 + ... + 154818.

It is an arithmetic number, because the mean of its divisors is an integer number (5839200).

Almost surely, 2^249646968 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 249646968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373708800).

249646968 is an abundant number, since it is smaller than the sum of its proper divisors (497770632).

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

249646968 is a wasteful number, since it uses less digits than its factorization.

249646968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 1680 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 249646968 is about 15800.2205047904. The cubic root of 249646968 is about 629.6638569605.

The spelling of 249646968 in words is "two hundred forty-nine million, six hundred forty-six thousand, nine hundred sixty-eight".