248888160 has 192 divisors, whose sum is σ = 922622400. Its totient is φ = 62447616.

The previous prime is 248888153. The next prime is 248888161. The reversal of 248888160 is 61888842.

It is a happy number.

248888160 is a `hidden beast` number, since 2 + 488 + 8 + 8 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248888161) 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, 71746 + ... + 75134.

It is an arithmetic number, because the mean of its divisors is an integer number (4805325).

Almost surely, 2^248888160 is an apocalyptic number.

248888160 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 248888160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461311200).

248888160 is an abundant number, since it is smaller than the sum of its proper divisors (673734240).

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

248888160 is a wasteful number, since it uses less digits than its factorization.

248888160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3430 (or 3416 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 248888160 is about 15776.1896540324. The cubic root of 248888160 is about 629.0252499925.

The spelling of 248888160 in words is "two hundred forty-eight million, eight hundred eighty-eight thousand, one hundred sixty".