249673968 has 80 divisors (see below), whose sum is σ = 758835360. Its totient is φ = 78326784.

The previous prime is 249673961. The next prime is 249673981. The reversal of 249673968 is 869376942.

It is a happy number.

249673968 is a `hidden beast` number, since 249 + 6 + 7 + 396 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249673961) 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, 9655 + ... + 24342.

It is an arithmetic number, because the mean of its divisors is an integer number (9485442).

Almost surely, 2^249673968 is an apocalyptic number.

It is an amenable number.

249673968 is an abundant number, since it is smaller than the sum of its proper divisors (509161392).

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

249673968 is a wasteful number, since it uses less digits than its factorization.

249673968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34031 (or 34019 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 249673968 is about 15801.0749001452. The cubic root of 249673968 is about 629.6865560963.

The spelling of 249673968 in words is "two hundred forty-nine million, six hundred seventy-three thousand, nine hundred sixty-eight".