438820 has 24 divisors (see below), whose sum is σ = 948024. Its totient is φ = 170496.

The previous prime is 438793. The next prime is 438827. The reversal of 438820 is 28834.

It can be written as a sum of positive squares in 4 ways, for example, as 142884 + 295936 = 378^2 + 544^2 .

It is not an unprimeable number, because it can be changed into a prime (438827) by changing a digit.

438820 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 7 ways as a sum of consecutive naturals, for example, 444 + ... + 1036.

It is an arithmetic number, because the mean of its divisors is an integer number (39501).

2⁴³⁸⁸²⁰ 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 438820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474012).

438820 is an abundant number, since it is smaller than the sum of its proper divisors (509204).

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

438820 is a wasteful number, since it uses less digits than its factorization.

438820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 438820 is about 662.4349024621. The cubic root of 438820 is about 75.9909961633.

The spelling of 438820 in words is "four hundred thirty-eight thousand, eight hundred twenty".