48180 has 48 divisors (see below), whose sum is σ = 149184. Its totient is φ = 11520.

The previous prime is 48179. The next prime is 48187. The reversal of 48180 is 8184.

48180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 11 and base 15.

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 48180.

It is not an unprimeable number, because it can be changed into a prime (48187) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 624 + ... + 696.

It is an arithmetic number, because the mean of its divisors is an integer number (3108).

2⁴⁸¹⁸⁰ is an apocalyptic number.

It is a pronic number, being equal to 219×220.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74592).

48180 is an abundant number, since it is smaller than the sum of its proper divisors (101004).

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

48180 is a wasteful number, since it uses less digits than its factorization.

48180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 48180 is about 219.4994305232. The cubic root of 48180 is about 36.3877832045.

It can be divided in two parts, 481 and 80, that added together give a triangular number (561 = T₃₃).

The spelling of 48180 in words is "forty-eight thousand, one hundred eighty".