249668496 has 360 divisors, whose sum is σ = 926190720. Its totient is φ = 61332480.

The previous prime is 249668483. The next prime is 249668509. The reversal of 249668496 is 694866942.

249668496 is a `hidden beast` number, since 2 + 4 + 96 + 68 + 496 = 666.

It is an interprime number because it is at equal distance from previous prime (249668483) and next prime (249668509).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2805220 + ... + 2805308.

It is an arithmetic number, because the mean of its divisors is an integer number (2572752).

Almost surely, 2^249668496 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 249668496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463095360).

249668496 is an abundant number, since it is smaller than the sum of its proper divisors (676522224).

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

249668496 is a wasteful number, since it uses less digits than its factorization.

249668496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 135 counting only the distinct ones).

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

The square root of 249668496 is about 15800.9017464194. The cubic root of 249668496 is about 629.6819558703.

The spelling of 249668496 in words is "two hundred forty-nine million, six hundred sixty-eight thousand, four hundred ninety-six".