249052160 has 88 divisors (see below), whose sum is σ = 682879200. Its totient is φ = 85377024.

The previous prime is 249052127. The next prime is 249052183. The reversal of 249052160 is 61250942.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32366 + ... + 39314.

Almost surely, 2^249052160 is an apocalyptic number.

249052160 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 249052160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341439600).

249052160 is an abundant number, since it is smaller than the sum of its proper divisors (433827040).

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

249052160 is an equidigital number, since it uses as much as digits as its factorization.

249052160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6981 (or 6963 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 249052160 is about 15781.3865043601. The cubic root of 249052160 is about 629.1633809652.

The spelling of 249052160 in words is "two hundred forty-nine million, fifty-two thousand, one hundred sixty".