438320 has 20 divisors (see below), whose sum is σ = 1019280. Its totient is φ = 175296.

The previous prime is 438313. The next prime is 438329. The reversal of 438320 is 23834.

438320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 438292 and 438301.

It is not an unprimeable number, because it can be changed into a prime (438329) by changing a digit.

438320 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2660 + ... + 2819.

It is an arithmetic number, because the mean of its divisors is an integer number (50964).

2⁴³⁸³²⁰ is an apocalyptic number.

438320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

438320 is an abundant number, since it is smaller than the sum of its proper divisors (580960).

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

438320 is a wasteful number, since it uses less digits than its factorization.

438320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5492 (or 5486 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 438320 is about 662.0573993243. The cubic root of 438320 is about 75.9621233239.

The spelling of 438320 in words is "four hundred thirty-eight thousand, three hundred twenty".