438311 has 16 divisors (see below), whose sum is σ = 518400. Its totient is φ = 367488.

The previous prime is 438301. The next prime is 438313. The reversal of 438311 is 113834.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 438311 - 2¹⁰ = 437287 is a prime.

It is a Duffinian number.

It is a congruent number.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7400 + ... + 7458.

It is an arithmetic number, because the mean of its divisors is an integer number (32400).

2⁴³⁸³¹¹ is an apocalyptic number.

438311 is a deficient number, since it is larger than the sum of its proper divisors (80089).

438311 is a wasteful number, since it uses less digits than its factorization.

438311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118.

The product of its digits is 288, while the sum is 20.

The square root of 438311 is about 662.0506022956. The cubic root of 438311 is about 75.9616034116.

The spelling of 438311 in words is "four hundred thirty-eight thousand, three hundred eleven".