248508 has 60 divisors (see below), whose sum is σ = 711480. Its totient is φ = 75168.

The previous prime is 248483. The next prime is 248509. The reversal of 248508 is 805842.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 248508.

It is not an unprimeable number, because it can be changed into a prime (248509) 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 19 ways as a sum of consecutive naturals, for example, 4183 + ... + 4241.

It is an arithmetic number, because the mean of its divisors is an integer number (11858).

2²⁴⁸⁵⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355740).

248508 is an abundant number, since it is smaller than the sum of its proper divisors (462972).

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

248508 is a wasteful number, since it uses less digits than its factorization.

248508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 248508 is about 498.5057672685. The cubic root of 248508 is about 62.8704822142.

The spelling of 248508 in words is "two hundred forty-eight thousand, five hundred eight".