248808 has 32 divisors (see below), whose sum is σ = 711360. Its totient is φ = 71040.

The previous prime is 248797. The next prime is 248813. The reversal of 248808 is 808842.

248808 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 248808.

It is an unprimeable number.

248808 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 573 + ... + 908.

It is an arithmetic number, because the mean of its divisors is an integer number (22230).

2²⁴⁸⁸⁰⁸ is an apocalyptic number.

248808 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

248808 is an abundant number, since it is smaller than the sum of its proper divisors (462552).

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

248808 is a wasteful number, since it uses less digits than its factorization.

248808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 248808 is about 498.8065757385. The cubic root of 248808 is about 62.8957712190.

The spelling of 248808 in words is "two hundred forty-eight thousand, eight hundred eight".