248988320 has 48 divisors (see below), whose sum is σ = 672271488. Its totient is φ = 85367040.

The previous prime is 248988301. The next prime is 248988323. The reversal of 248988320 is 23889842.

It is not an unprimeable number, because it can be changed into a prime (248988323) 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 7 ways as a sum of consecutive naturals, for example, 110036 + ... + 112275.

It is an arithmetic number, because the mean of its divisors is an integer number (14005656).

Almost surely, 2^248988320 is an apocalyptic number.

248988320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248988320 is an abundant number, since it is smaller than the sum of its proper divisors (423283168).

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

248988320 is a wasteful number, since it uses less digits than its factorization.

248988320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222333 (or 222325 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 44.

The square root of 248988320 is about 15779.3637387570. The cubic root of 248988320 is about 629.1096181675.

It can be divided in two parts, 2489 and 88320, that added together give a palindrome (90809).

The spelling of 248988320 in words is "two hundred forty-eight million, nine hundred eighty-eight thousand, three hundred twenty".