248882176 has 99 divisors (see below), whose sum is σ = 547361659. Its totient is φ = 113082368.

The previous prime is 248882171. The next prime is 248882203. The reversal of 248882176 is 671288842.

It is a happy number.

The square root of 248882176 is 15776.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 24601600 + 224280576 = 4960^2 + 14976^2 .

It is a Duffinian number.

Its product of digits (344064) is a multiple of the sum of its prime divisors (48).

It is not an unprimeable number, because it can be changed into a prime (248882171) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 8582130 + ... + 8582158.

Almost surely, 2^248882176 is an apocalyptic number.

248882176 is the 15776-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248882176

248882176 is an abundant number, since it is smaller than the sum of its proper divisors (298479483).

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

248882176 is an equidigital number, since it uses as much as digits as its factorization.

248882176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 48 counting only the distinct ones).

The product of its digits is 344064, while the sum is 46.

The cubic root of 248882176 is about 629.0202087493.

The spelling of 248882176 in words is "two hundred forty-eight million, eight hundred eighty-two thousand, one hundred seventy-six".