438720 has 56 divisors (see below), whose sum is σ = 1395984. Its totient is φ = 116736.

The previous prime is 438707. The next prime is 438721. The reversal of 438720 is 27834.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438721) 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, 732 + ... + 1188.

2⁴³⁸⁷²⁰ is an apocalyptic number.

438720 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 438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697992).

438720 is an abundant number, since it is smaller than the sum of its proper divisors (957264).

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

438720 is a wasteful number, since it uses less digits than its factorization.

438720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 438720 is about 662.3594190468. The cubic root of 438720 is about 75.9852233506.

The spelling of 438720 in words is "four hundred thirty-eight thousand, seven hundred twenty".