48580 has 24 divisors (see below), whose sum is σ = 116928. Its totient is φ = 16608.

The previous prime is 48571. The next prime is 48589. The reversal of 48580 is 8584.

It is an interprime number because it is at equal distance from previous prime (48571) and next prime (48589).

It is not an unprimeable number, because it can be changed into a prime (48589) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34 + ... + 313.

It is an arithmetic number, because the mean of its divisors is an integer number (4872).

2⁴⁸⁵⁸⁰ is an apocalyptic number.

It is an amenable number.

48580 is an abundant number, since it is smaller than the sum of its proper divisors (68348).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58464).

48580 is a wasteful number, since it uses less digits than its factorization.

48580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 48580 is about 220.4087112616. The cubic root of 48580 is about 36.4882053590.

It can be divided in two parts, 485 and 80, that added together give a palindrome (565).

The spelling of 48580 in words is "forty-eight thousand, five hundred eighty".