438305 has 12 divisors (see below), whose sum is σ = 612180. Its totient is φ = 300384.

The previous prime is 438301. The next prime is 438313. The reversal of 438305 is 503834.

It can be written as a sum of positive squares in 2 ways, for example, as 305809 + 132496 = 553^2 + 364^2 .

It is not a de Polignac number, because 438305 - 2² = 438301 is a prime.

It is a super-2 number, since 2×438305² = 384222546050, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (438301) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 650 + ... + 1139.

It is an arithmetic number, because the mean of its divisors is an integer number (51015).

2⁴³⁸³⁰⁵ is an apocalyptic number.

It is an amenable number.

438305 is a deficient number, since it is larger than the sum of its proper divisors (173875).

438305 is a wasteful number, since it uses less digits than its factorization.

438305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 438305 is about 662.0460709044. The cubic root of 438305 is about 75.9612567995.

The spelling of 438305 in words is "four hundred thirty-eight thousand, three hundred five".