249944240 has 240 divisors, whose sum is σ = 762451200. Its totient is φ = 74400768.

The previous prime is 249944231. The next prime is 249944257. The reversal of 249944240 is 42449942.

249944240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 249944194 and 249944203.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1798091 + ... + 1798229.

It is an arithmetic number, because the mean of its divisors is an integer number (3176880).

Almost surely, 2^249944240 is an apocalyptic number.

249944240 is a gapful number since it is divisible by the number (20) 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 249944240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381225600).

249944240 is an abundant number, since it is smaller than the sum of its proper divisors (512506960).

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

249944240 is a wasteful number, since it uses less digits than its factorization.

249944240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The square root of 249944240 is about 15809.6249164868. The cubic root of 249944240 is about 629.9136859998.

The spelling of 249944240 in words is "two hundred forty-nine million, nine hundred forty-four thousand, two hundred forty".