438272 has 26 divisors (see below), whose sum is σ = 884628. Its totient is φ = 217088.

The previous prime is 438271. The next prime is 438281. The reversal of 438272 is 272834.

It is not an unprimeable number, because it can be changed into a prime (438271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4043 + ... + 4149.

438272 is a Friedman number, since it can be written as 428*2^(7+3), using all its digits and the basic arithmetic operations.

2⁴³⁸²⁷² 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 438272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442314).

438272 is an abundant number, since it is smaller than the sum of its proper divisors (446356).

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

438272 is an equidigital number, since it uses as much as digits as its factorization.

438272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 109 counting only the distinct ones).

The product of its digits is 2688, while the sum is 26.

The square root of 438272 is about 662.0211476985. The cubic root of 438272 is about 75.9593503764.

The spelling of 438272 in words is "four hundred thirty-eight thousand, two hundred seventy-two".