248875680 has 192 divisors, whose sum is σ = 854582400. Its totient is φ = 60641280.

The previous prime is 248875609. The next prime is 248875681. The reversal of 248875680 is 86578842.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (248875681) 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 31 ways as a sum of consecutive naturals, for example, 264010 + ... + 264950.

It is an arithmetic number, because the mean of its divisors is an integer number (4450950).

Almost surely, 2^248875680 is an apocalyptic number.

248875680 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 248875680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427291200).

248875680 is an abundant number, since it is smaller than the sum of its proper divisors (605706720).

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

248875680 is a wasteful number, since it uses less digits than its factorization.

248875680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The square root of 248875680 is about 15775.7941163036. The cubic root of 248875680 is about 629.0147360783.

The spelling of 248875680 in words is "two hundred forty-eight million, eight hundred seventy-five thousand, six hundred eighty".