438372 has 72 divisors (see below), whose sum is σ = 1284192. Its totient is φ = 129600.

The previous prime is 438341. The next prime is 438377. The reversal of 438372 is 273834.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (438377) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10672 + ... + 10712.

It is an arithmetic number, because the mean of its divisors is an integer number (17836).

2⁴³⁸³⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 438372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642096).

438372 is an abundant number, since it is smaller than the sum of its proper divisors (845820).

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

438372 is a wasteful number, since it uses less digits than its factorization.

438372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 57 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 438372 is about 662.0966696790. The cubic root of 438372 is about 75.9651271219.

The spelling of 438372 in words is "four hundred thirty-eight thousand, three hundred seventy-two".