249943968 has 72 divisors (see below), whose sum is σ = 737126208. Its totient is φ = 83312064.

The previous prime is 249943963. The next prime is 249943987. The reversal of 249943968 is 869349942.

249943968 is a `hidden beast` number, since 249 + 9 + 4 + 396 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 not an unprimeable number, because it can be changed into a prime (249943963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8296 + ... + 23847.

It is an arithmetic number, because the mean of its divisors is an integer number (10237864).

Almost surely, 2^249943968 is an apocalyptic number.

It is an amenable number.

249943968 is an abundant number, since it is smaller than the sum of its proper divisors (487182240).

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

249943968 is an equidigital number, since it uses as much as digits as its factorization.

249943968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32168 (or 32148 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 249943968 is about 15809.6163141298. The cubic root of 249943968 is about 629.9134575000.

The spelling of 249943968 in words is "two hundred forty-nine million, nine hundred forty-three thousand, nine hundred sixty-eight".