438144 has 64 divisors (see below), whose sum is σ = 1338240. Its totient is φ = 124416.

The previous prime is 438143. The next prime is 438169. The reversal of 438144 is 441834.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2607 + ... + 2769.

It is an arithmetic number, because the mean of its divisors is an integer number (20910).

2⁴³⁸¹⁴⁴ 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 438144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669120).

438144 is an abundant number, since it is smaller than the sum of its proper divisors (900096).

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

438144 is a wasteful number, since it uses less digits than its factorization.

438144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 175 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 438144 is about 661.9244669900. The cubic root of 438144 is about 75.9519548598.

Adding to 438144 its reverse (441834), we get a palindrome (879978).

The spelling of 438144 in words is "four hundred thirty-eight thousand, one hundred forty-four".