249079824 has 120 divisors (see below), whose sum is σ = 804323520. Its totient is φ = 70481664.

The previous prime is 249079783. The next prime is 249079829. The reversal of 249079824 is 428970942.

It is a self number, because there is not a number n which added to its sum of digits gives 249079824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249079829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108739 + ... + 111005.

It is an arithmetic number, because the mean of its divisors is an integer number (6702696).

Almost surely, 2^249079824 is an apocalyptic number.

249079824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249079824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402161760).

249079824 is an abundant number, since it is smaller than the sum of its proper divisors (555243696).

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

249079824 is a wasteful number, since it uses less digits than its factorization.

249079824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397 (or 2388 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 249079824 is about 15782.2629556094. The cubic root of 249079824 is about 629.1866753243.

The spelling of 249079824 in words is "two hundred forty-nine million, seventy-nine thousand, eight hundred twenty-four".