248756480 has 72 divisors (see below), whose sum is σ = 680995392. Its totient is φ = 85284864.

The previous prime is 248756467. The next prime is 248756503. The reversal of 248756480 is 84657842.

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 7 ways as a sum of consecutive naturals, for example, 4922 + ... + 22841.

Almost surely, 2^248756480 is an apocalyptic number.

248756480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248756480 is an abundant number, since it is smaller than the sum of its proper divisors (432238912).

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

248756480 is an equidigital number, since it uses as much as digits as its factorization.

248756480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27791 (or 27777 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 44.

The square root of 248756480 is about 15772.0157240601. The cubic root of 248756480 is about 628.9142970021.

The spelling of 248756480 in words is "two hundred forty-eight million, seven hundred fifty-six thousand, four hundred eighty".