249063360 has 224 divisors, whose sum is σ = 973604352. Its totient is φ = 52531200.

The previous prime is 249063359. The next prime is 249063361. The reversal of 249063360 is 63360942.

249063360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (249063359) and next prime (249063361).

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249063361) 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, 85935 + ... + 88785.

It is an arithmetic number, because the mean of its divisors is an integer number (4346448).

Almost surely, 2^249063360 is an apocalyptic number.

249063360 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 249063360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486802176).

249063360 is an abundant number, since it is smaller than the sum of its proper divisors (724540992).

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

249063360 is a wasteful number, since it uses less digits than its factorization.

249063360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2891 (or 2881 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 249063360 is about 15781.7413487866. The cubic root of 249063360 is about 629.1728120876.

The spelling of 249063360 in words is "two hundred forty-nine million, sixty-three thousand, three hundred sixty".