249813672 has 64 divisors (see below), whose sum is σ = 686016000. Its totient is φ = 75455424.

The previous prime is 249813671. The next prime is 249813679. The reversal of 249813672 is 276318942.

It is not an unprimeable number, because it can be changed into a prime (249813671) 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, 1422 + ... + 22397.

It is an arithmetic number, because the mean of its divisors is an integer number (10719000).

Almost surely, 2^249813672 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 249813672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343008000).

249813672 is an abundant number, since it is smaller than the sum of its proper divisors (436202328).

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

249813672 is a wasteful number, since it uses less digits than its factorization.

249813672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23870 (or 23866 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 249813672 is about 15805.4949938305. The cubic root of 249813672 is about 629.8039803365.

The spelling of 249813672 in words is "two hundred forty-nine million, eight hundred thirteen thousand, six hundred seventy-two".