248302880 has 192 divisors, whose sum is σ = 705438720. Its totient is φ = 80830464.

The previous prime is 248302877. The next prime is 248302891. The reversal of 248302880 is 88203842.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 248302880.

It is an unprimeable number.

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, 2789876 + ... + 2789964.

It is an arithmetic number, because the mean of its divisors is an integer number (3674160).

Almost surely, 2^248302880 is an apocalyptic number.

248302880 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 248302880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352719360).

248302880 is an abundant number, since it is smaller than the sum of its proper divisors (457135840).

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

248302880 is a wasteful number, since it uses less digits than its factorization.

248302880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 248302880 is about 15757.6292633124. The cubic root of 248302880 is about 628.5317956121.

The spelling of 248302880 in words is "two hundred forty-eight million, three hundred two thousand, eight hundred eighty".