438288 has 40 divisors (see below), whose sum is σ = 1184448. Its totient is φ = 139392.

The previous prime is 438287. The next prime is 438301. The reversal of 438288 is 882834.

It is a nude number because it is divisible by every one of its digits.

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 438288.

It is not an unprimeable number, because it can be changed into a prime (438281) 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, 906 + ... + 1302.

2⁴³⁸²⁸⁸ is an apocalyptic number.

438288 is a gapful number since it is divisible by the number (48) 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 438288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592224).

438288 is an abundant number, since it is smaller than the sum of its proper divisors (746160).

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

438288 is a wasteful number, since it uses less digits than its factorization.

438288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 425 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 438288 is about 662.0332317943. The cubic root of 438288 is about 75.9602747147.

The spelling of 438288 in words is "four hundred thirty-eight thousand, two hundred eighty-eight".