438084 has 36 divisors (see below), whose sum is σ = 1137136. Its totient is φ = 142128.

The previous prime is 438049. The next prime is 438091. The reversal of 438084 is 480834.

438084 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 438084.

It is an unprimeable number.

438084 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1407 + ... + 1689.

2⁴³⁸⁰⁸⁴ 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 438084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568568).

438084 is an abundant number, since it is smaller than the sum of its proper divisors (699052).

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

438084 is a wasteful number, since it uses less digits than its factorization.

438084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 438084 is about 661.8791430465. The cubic root of 438084 is about 75.9484877156.

The spelling of 438084 in words is "four hundred thirty-eight thousand, eighty-four".