248580 has 36 divisors (see below), whose sum is σ = 754572. Its totient is φ = 66240.

The previous prime is 248579. The next prime is 248587. The reversal of 248580 is 85842.

It can be written as a sum of positive squares in 2 ways, for example, as 101124 + 147456 = 318^2 + 384^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (248587) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 511 + ... + 870.

2²⁴⁸⁵⁸⁰ is an apocalyptic number.

248580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248580 is an abundant number, since it is smaller than the sum of its proper divisors (505992).

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

248580 is a wasteful number, since it uses less digits than its factorization.

248580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 1391 counting only the distinct ones).

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

The square root of 248580 is about 498.5779778530. The cubic root of 248580 is about 62.8765534307.

It can be divided in two parts, 248 and 580, that added together give a palindrome (828).

The spelling of 248580 in words is "two hundred forty-eight thousand, five hundred eighty".