838409 has 18 divisors (see below), whose sum is σ = 1022238. Its totient is φ = 686400.

The previous prime is 838403. The next prime is 838421. The reversal of 838409 is 904838.

It can be written as a sum of positive squares in 3 ways, for example, as 64009 + 774400 = 253^2 + 880^2 .

It is not a de Polignac number, because 838409 - 2⁴ = 838393 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (838403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 20429 + ... + 20469.

It is an arithmetic number, because the mean of its divisors is an integer number (56791).

2⁸³⁸⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

838409 is a deficient number, since it is larger than the sum of its proper divisors (183829).

838409 is a wasteful number, since it uses less digits than its factorization.

838409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 838409 is about 915.6467659529. The cubic root of 838409 is about 94.2942717101.

The spelling of 838409 in words is "eight hundred thirty-eight thousand, four hundred nine".