52380 has 48 divisors (see below), whose sum is σ = 164640. Its totient is φ = 13824.

The previous prime is 52379. The next prime is 52387. The reversal of 52380 is 8325.

52380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52387) 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, 492 + ... + 588.

It is an arithmetic number, because the mean of its divisors is an integer number (3430).

2⁵²³⁸⁰ 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 52380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82320).

52380 is an abundant number, since it is smaller than the sum of its proper divisors (112260).

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

52380 is a wasteful number, since it uses less digits than its factorization.

52380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 52380 is about 228.8667734731. The cubic root of 52380 is about 37.4158111344.

The spelling of 52380 in words is "fifty-two thousand, three hundred eighty".