249969120 has 192 divisors, whose sum is σ = 825624576. Its totient is φ = 63498240.

The previous prime is 249969119. The next prime is 249969127. The reversal of 249969120 is 21969942.

249969120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249969127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1592082 + ... + 1592238.

It is an arithmetic number, because the mean of its divisors is an integer number (4300128).

Almost surely, 2^249969120 is an apocalyptic number.

249969120 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 249969120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412812288).

249969120 is an abundant number, since it is smaller than the sum of its proper divisors (575655456).

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

249969120 is a wasteful number, since it uses less digits than its factorization.

249969120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 249969120 is about 15810.4117593439. The cubic root of 249969120 is about 629.9345863047.

The spelling of 249969120 in words is "two hundred forty-nine million, nine hundred sixty-nine thousand, one hundred twenty".