249845360 has 40 divisors (see below), whose sum is σ = 584400096. Its totient is φ = 99334400.

The previous prime is 249845329. The next prime is 249845363. The reversal of 249845360 is 63548942.

249845360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249845363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4010 + ... + 22710.

Almost surely, 2^249845360 is an apocalyptic number.

249845360 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 249845360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292200048).

249845360 is an abundant number, since it is smaller than the sum of its proper divisors (334554736).

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

249845360 is a wasteful number, since it uses less digits than its factorization.

249845360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18881 (or 18875 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 41.

The square root of 249845360 is about 15806.4973982220. The cubic root of 249845360 is about 629.8306086960.

The spelling of 249845360 in words is "two hundred forty-nine million, eight hundred forty-five thousand, three hundred sixty".