249201360 has 140 divisors (see below), whose sum is σ = 868895652. Its totient is φ = 66438144.

The previous prime is 249201319. The next prime is 249201361. The reversal of 249201360 is 63102942.

It can be written as a sum of positive squares in 2 ways, for example, as 78428736 + 170772624 = 8856^2 + 13068^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249201361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 56184 + ... + 60456.

Almost surely, 2^249201360 is an apocalyptic number.

249201360 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 249201360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434447826).

249201360 is an abundant number, since it is smaller than the sum of its proper divisors (619694292).

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

249201360 is an equidigital number, since it uses as much as digits as its factorization.

249201360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4304 (or 4283 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 249201360 is about 15786.1128844310. The cubic root of 249201360 is about 629.2889937919.

The spelling of 249201360 in words is "two hundred forty-nine million, two hundred one thousand, three hundred sixty".