249691968 has 168 divisors, whose sum is σ = 747506760. Its totient is φ = 79626240.

The previous prime is 249691951. The next prime is 249691969. The reversal of 249691968 is 869196942.

249691968 is a `hidden beast` number, since 2 + 496 + 91 + 9 + 68 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8573184 + 241118784 = 2928^2 + 15528^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249691969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2290698 + ... + 2290806.

It is an arithmetic number, because the mean of its divisors is an integer number (4449445).

Almost surely, 2^249691968 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 249691968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373753380).

249691968 is an abundant number, since it is smaller than the sum of its proper divisors (497814792).

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

249691968 is a wasteful number, since it uses less digits than its factorization.

249691968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 252 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 249691968 is about 15801.6444713834. The cubic root of 249691968 is about 629.7016879443.

The spelling of 249691968 in words is "two hundred forty-nine million, six hundred ninety-one thousand, nine hundred sixty-eight".