438880 has 48 divisors (see below), whose sum is σ = 1121904. Its totient is φ = 161280.

The previous prime is 438877. The next prime is 438887. The reversal of 438880 is 88834.

438880 = 48² + 49² + ... + 112².

438880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 438880.

It is not an unprimeable number, because it can be changed into a prime (438887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1975 + ... + 2185.

It is an arithmetic number, because the mean of its divisors is an integer number (23373).

2⁴³⁸⁸⁸⁰ is an apocalyptic number.

438880 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 438880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560952).

438880 is an abundant number, since it is smaller than the sum of its proper divisors (683024).

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

438880 is a wasteful number, since it uses less digits than its factorization.

438880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 438880 is about 662.4801883830. The cubic root of 438880 is about 75.9944594299.

The spelling of 438880 in words is "four hundred thirty-eight thousand, eight hundred eighty".