248520 has 64 divisors (see below), whose sum is σ = 792000. Its totient is φ = 62208.

The previous prime is 248509. The next prime is 248533. The reversal of 248520 is 25842.

248520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

248520 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2226 + ... + 2334.

It is an arithmetic number, because the mean of its divisors is an integer number (12375).

2²⁴⁸⁵²⁰ is an apocalyptic number.

248520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396000).

248520 is an abundant number, since it is smaller than the sum of its proper divisors (543480).

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

248520 is a wasteful number, since it uses less digits than its factorization.

248520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 248520 is about 498.5178030923. The cubic root of 248520 is about 62.8714941651.

It can be divided in two parts, 24 and 8520, that multiplied together give a triangular number (204480 = T₆₃₉).

The spelling of 248520 in words is "two hundred forty-eight thousand, five hundred twenty".