4380 has 24 divisors (see below), whose sum is σ = 12432. Its totient is φ = 1152.

The previous prime is 4373. The next prime is 4391. The reversal of 4380 is 834.

4380 is nontrivially palindromic in base 9.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a plaindrome in base 16.

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

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 4380.

It is an unprimeable number.

4380 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24 + ... + 96.

It is an arithmetic number, because the mean of its divisors is an integer number (518).

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6216).

4380 is an abundant number, since it is smaller than the sum of its proper divisors (8052).

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

4380 is a wasteful number, since it uses less digits than its factorization.

4380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4380 is about 66.1815684311. The cubic root of 4380 is about 16.3615597814.

4380 divided by its sum of digits (15) gives a palindrome (292).

The spelling of 4380 in words is "four thousand, three hundred eighty".