409084 has 12 divisors (see below), whose sum is σ = 771064. Its totient is φ = 188784.

The previous prime is 409081. The next prime is 409099. The reversal of 409084 is 480904.

409084 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409081) 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 3 ways as a sum of consecutive naturals, for example, 3882 + ... + 3985.

2⁴⁰⁹⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

409084 is a deficient number, since it is larger than the sum of its proper divisors (361980).

409084 is a wasteful number, since it uses less digits than its factorization.

409084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7884 (or 7882 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 409084 is about 639.5967479592. The cubic root of 409084 is about 74.2342225581.

Adding to 409084 its reverse (480904), we get a palindrome (889988).

The spelling of 409084 in words is "four hundred nine thousand, eighty-four".