249827328 has 156 divisors (see below), whose sum is σ = 751344048. Its totient is φ = 82944000.

The previous prime is 249827327. The next prime is 249827339. The reversal of 249827328 is 823728942.

249827328 is a `hidden beast` number, since 249 + 82 + 7 + 328 = 666.

Its product of digits (387072) is a multiple of the sum of its prime divisors (256).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (249827327) 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, 995203 + ... + 995453.

It is an arithmetic number, because the mean of its divisors is an integer number (4816308).

Almost surely, 2^249827328 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 249827328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375672024).

249827328 is an abundant number, since it is smaller than the sum of its proper divisors (501516720).

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

249827328 is an frugal number, since it uses more digits than its factorization.

249827328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 256 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 249827328 is about 15805.9269895821. The cubic root of 249827328 is about 629.8154561515.

The spelling of 249827328 in words is "two hundred forty-nine million, eight hundred twenty-seven thousand, three hundred twenty-eight".