438564 has 48 divisors (see below), whose sum is σ = 1225728. Its totient is φ = 119328.

The previous prime is 438551. The next prime is 438569. The reversal of 438564 is 465834.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (438569) 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, 1819 + ... + 2045.

It is an arithmetic number, because the mean of its divisors is an integer number (25536).

2⁴³⁸⁵⁶⁴ 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 438564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612864).

438564 is an abundant number, since it is smaller than the sum of its proper divisors (787164).

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

438564 is a wasteful number, since it uses less digits than its factorization.

438564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 262 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 438564 is about 662.2416477390. The cubic root of 438564 is about 75.9762160110.

The spelling of 438564 in words is "four hundred thirty-eight thousand, five hundred sixty-four".