338405 has 8 divisors (see below), whose sum is σ = 414072. Its totient is φ = 265408.

The previous prime is 338389. The next prime is 338407. The reversal of 338405 is 504833.

It can be written as a sum of positive squares in 4 ways, for example, as 82369 + 256036 = 287^2 + 506^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 338405 - 2⁴ = 338389 is a prime.

It is a super-2 number, since 2×338405² = 229035888050, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 338405.

It is not an unprimeable number, because it can be changed into a prime (338407) 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, 374 + ... + 903.

It is an arithmetic number, because the mean of its divisors is an integer number (51759).

2³³⁸⁴⁰⁵ is an apocalyptic number.

It is an amenable number.

338405 is a deficient number, since it is larger than the sum of its proper divisors (75667).

338405 is a wasteful number, since it uses less digits than its factorization.

338405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335.

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

The square root of 338405 is about 581.7258804626. The cubic root of 338405 is about 69.6860086351.

The spelling of 338405 in words is "three hundred thirty-eight thousand, four hundred five".