438180 has 48 divisors (see below), whose sum is σ = 1256640. Its totient is φ = 114048.

The previous prime is 438169. The next prime is 438203. The reversal of 438180 is 81834.

438180 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 438180.

It is an unprimeable number.

438180 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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3966 + ... + 4074.

It is an arithmetic number, because the mean of its divisors is an integer number (26180).

2⁴³⁸¹⁸⁰ 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 438180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628320).

438180 is an abundant number, since it is smaller than the sum of its proper divisors (818460).

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

438180 is a wasteful number, since it uses less digits than its factorization.

438180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 438180 is about 661.9516598665. The cubic root of 438180 is about 75.9540349944.

The spelling of 438180 in words is "four hundred thirty-eight thousand, one hundred eighty".