249215120 has 160 divisors (see below), whose sum is σ = 754237440. Its totient is φ = 74257920.

The previous prime is 249215119. The next prime is 249215173. The reversal of 249215120 is 21512942.

249215120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×249215120² = 124216352073228800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 249215120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140801 + ... + 142559.

It is an arithmetic number, because the mean of its divisors is an integer number (4713984).

Almost surely, 2^249215120 is an apocalyptic number.

249215120 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 249215120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377118720).

249215120 is an abundant number, since it is smaller than the sum of its proper divisors (505022320).

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

249215120 is a wasteful number, since it uses less digits than its factorization.

249215120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 249215120 is about 15786.5487045142. The cubic root of 249215120 is about 629.3005759347.

The spelling of 249215120 in words is "two hundred forty-nine million, two hundred fifteen thousand, one hundred twenty".