438960 has 80 divisors (see below), whose sum is σ = 1428480. Its totient is φ = 111360.

The previous prime is 438953. The next prime is 438961. The reversal of 438960 is 69834.

438960 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (438961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7411 + ... + 7469.

It is an arithmetic number, because the mean of its divisors is an integer number (17856).

2⁴³⁸⁹⁶⁰ is an apocalyptic number.

438960 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 438960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714240).

438960 is an abundant number, since it is smaller than the sum of its proper divisors (989520).

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

438960 is a wasteful number, since it uses less digits than its factorization.

438960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 438960 is about 662.5405647958. The cubic root of 438960 is about 75.9990766277. Note that the first 3 decimals are identical.

The spelling of 438960 in words is "four hundred thirty-eight thousand, nine hundred sixty".