409338 has 12 divisors (see below), whose sum is σ = 886938. Its totient is φ = 136440.

The previous prime is 409337. The next prime is 409349. The reversal of 409338 is 833904.

409338 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 400689 + 8649 = 633^2 + 93^2 .

It is not an unprimeable number, because it can be changed into a prime (409333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11353 + ... + 11388.

2⁴⁰⁹³³⁸ is an apocalyptic number.

409338 is an abundant number, since it is smaller than the sum of its proper divisors (477600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

409338 is a wasteful number, since it uses less digits than its factorization.

409338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22749 (or 22746 counting only the distinct ones).

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

The square root of 409338 is about 639.7952797575. The cubic root of 409338 is about 74.2495833735.

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

The spelling of 409338 in words is "four hundred nine thousand, three hundred thirty-eight".