338409 has 12 divisors (see below), whose sum is σ = 514800. Its totient is φ = 213624.

The previous prime is 338407. The next prime is 338411. The reversal of 338409 is 904833.

It is an interprime number because it is at equal distance from previous prime (338407) and next prime (338411).

It is not a de Polignac number, because 338409 - 2¹ = 338407 is a prime.

It is a super-2 number, since 2×338409² = 229041302562, which contains 22 as substring.

338409 is a lucky number.

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 11 ways as a sum of consecutive naturals, for example, 819 + ... + 1160.

It is an arithmetic number, because the mean of its divisors is an integer number (42900).

2³³⁸⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

338409 is a deficient number, since it is larger than the sum of its proper divisors (176391).

338409 is a wasteful number, since it uses less digits than its factorization.

338409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2004 (or 2001 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 338409 is about 581.7293184979. The cubic root of 338409 is about 69.6862832005.

It can be divided in two parts, 338 and 409, that added together give a palindrome (747).

The spelling of 338409 in words is "three hundred thirty-eight thousand, four hundred nine".