248940160 has 128 divisors (see below), whose sum is σ = 686125440. Its totient is φ = 84602880.

The previous prime is 248940149. The next prime is 248940169. The reversal of 248940160 is 61049842.

248940160 is digitally balanced in base 3, 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 (128).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (248940169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 810727 + ... + 811033.

It is an arithmetic number, because the mean of its divisors is an integer number (5360355).

Almost surely, 2^248940160 is an apocalyptic number.

248940160 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 248940160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343062720).

248940160 is an abundant number, since it is smaller than the sum of its proper divisors (437185280).

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

248940160 is a wasteful number, since it uses less digits than its factorization.

248940160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 248940160 is about 15777.8376211698. The cubic root of 248940160 is about 629.0690541859.

The spelling of 248940160 in words is "two hundred forty-eight million, nine hundred forty thousand, one hundred sixty".