438906 has 32 divisors (see below), whose sum is σ = 1003968. Its totient is φ = 126720.

The previous prime is 438899. The next prime is 438913. The reversal of 438906 is 609834.

438906 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (438899) and next prime (438913).

It is an unprimeable number.

438906 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, 1161 + ... + 1491.

It is an arithmetic number, because the mean of its divisors is an integer number (31374).

2⁴³⁸⁹⁰⁶ is an apocalyptic number.

It is a pronic number, being equal to 662×663.

It is a practical number, because each smaller number is the sum of distinct divisors of 438906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501984).

438906 is an abundant number, since it is smaller than the sum of its proper divisors (565062).

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

438906 is a wasteful number, since it uses less digits than its factorization.

438906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366.

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 438906 is about 662.4998113207. The cubic root of 438906 is about 75.9959600807.

The spelling of 438906 in words is "four hundred thirty-eight thousand, nine hundred six".