249996672 has 64 divisors (see below), whose sum is σ = 737847600. Its totient is φ = 83331072.

The previous prime is 249996671. The next prime is 249996673. The reversal of 249996672 is 276699942.

249996672 is a `hidden beast` number, since 2 + 499 + 96 + 67 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (249996671) and next prime (249996673).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×249996672² = 124996672022151168, which contains 22 as substring.

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 (249996671) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 32713 + ... + 39624.

Almost surely, 2^249996672 is an apocalyptic number.

It is an amenable number.

249996672 is an abundant number, since it is smaller than the sum of its proper divisors (487850928).

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

249996672 is an equidigital number, since it uses as much as digits as its factorization.

249996672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72360 (or 72342 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 249996672 is about 15811.2830598911. The cubic root of 249996672 is about 629.9577295902.

The spelling of 249996672 in words is "two hundred forty-nine million, nine hundred ninety-six thousand, six hundred seventy-two".