438312 has 32 divisors (see below), whose sum is σ = 1252800. Its totient is φ = 125184.

The previous prime is 438301. The next prime is 438313. The reversal of 438312 is 213834.

It is a happy number.

438312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is not an unprimeable number, because it can be changed into a prime (438313) by changing a digit.

438312 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1137 + ... + 1472.

It is an arithmetic number, because the mean of its divisors is an integer number (39150).

2⁴³⁸³¹² is an apocalyptic number.

438312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

438312 is an abundant number, since it is smaller than the sum of its proper divisors (814488).

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

438312 is a wasteful number, since it uses less digits than its factorization.

438312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2625 (or 2621 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 438312 is about 662.0513575245. The cubic root of 438312 is about 75.9616611800.

The spelling of 438312 in words is "four hundred thirty-eight thousand, three hundred twelve".