438340 has 48 divisors (see below), whose sum is σ = 1096704. Its totient is φ = 144000.

The previous prime is 438329. The next prime is 438341. The reversal of 438340 is 43834.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438341) by changing a digit.

438340 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 15 ways as a sum of consecutive naturals, for example, 4290 + ... + 4390.

It is an arithmetic number, because the mean of its divisors is an integer number (22848).

2⁴³⁸³⁴⁰ 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 438340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548352).

438340 is an abundant number, since it is smaller than the sum of its proper divisors (658364).

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

438340 is a wasteful number, since it uses less digits than its factorization.

438340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 438340 is about 662.0725035825. The cubic root of 438340 is about 75.9632786589.

The spelling of 438340 in words is "four hundred thirty-eight thousand, three hundred forty".