438801 has 8 divisors (see below), whose sum is σ = 638304. Its totient is φ = 265920.

The previous prime is 438793. The next prime is 438827. The reversal of 438801 is 108834.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 438801 - 2³ = 438793 is a prime.

438801 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 438801.

It is not an unprimeable number, because it can be changed into a prime (438001) 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, 6616 + ... + 6681.

It is an arithmetic number, because the mean of its divisors is an integer number (79788).

2⁴³⁸⁸⁰¹ is an apocalyptic number.

It is an amenable number.

438801 is a deficient number, since it is larger than the sum of its proper divisors (199503).

438801 is a wasteful number, since it uses less digits than its factorization.

438801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13311.

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 438801 is about 662.4205612751. The cubic root of 438801 is about 75.9898993964.

Adding to 438801 its product of nonzero digits (768), we get a square (439569 = 663²).

The spelling of 438801 in words is "four hundred thirty-eight thousand, eight hundred one".