438840 has 96 divisors (see below), whose sum is σ = 1516320. Its totient is φ = 109824.

The previous prime is 438833. The next prime is 438847. The reversal of 438840 is 48834.

It is an interprime number because it is at equal distance from previous prime (438833) and next prime (438847).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438847) by changing a digit.

438840 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 23 ways as a sum of consecutive naturals, for example, 8254 + ... + 8306.

It is an arithmetic number, because the mean of its divisors is an integer number (15795).

2⁴³⁸⁸⁴⁰ is an apocalyptic number.

438840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 438840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758160).

438840 is an abundant number, since it is smaller than the sum of its proper divisors (1077480).

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

438840 is a wasteful number, since it uses less digits than its factorization.

438840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 438840 is about 662.4499981131. The cubic root of 438840 is about 75.9921506205.

The spelling of 438840 in words is "four hundred thirty-eight thousand, eight hundred forty".