438020 has 36 divisors (see below), whose sum is σ = 1016652. Its totient is φ = 158400.

The previous prime is 438017. The next prime is 438029. The reversal of 438020 is 20834.

It can be written as a sum of positive squares in 2 ways, for example, as 58564 + 379456 = 242^2 + 616^2 .

It is an Ulam number.

It is a plaindrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 438020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438029) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2330 + ... + 2510.

2⁴³⁸⁰²⁰ 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 438020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508326).

438020 is an abundant number, since it is smaller than the sum of its proper divisors (578632).

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

438020 is a wasteful number, since it uses less digits than its factorization.

438020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 438020 is about 661.8307940856. The cubic root of 438020 is about 75.9447890794.

Adding to 438020 its reverse (20834), we get a palindrome (458854).

The spelling of 438020 in words is "four hundred thirty-eight thousand, twenty".