409884 has 12 divisors (see below), whose sum is σ = 956424. Its totient is φ = 136624.

The previous prime is 409879. The next prime is 409889. The reversal of 409884 is 488904.

409884 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (409879) and next prime (409889).

It is a tau number, because it is divible by the number of its divisors (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409889) by changing a digit.

409884 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17067 + ... + 17090.

It is an arithmetic number, because the mean of its divisors is an integer number (79702).

2⁴⁰⁹⁸⁸⁴ is an apocalyptic number.

It is an amenable number.

409884 is an abundant number, since it is smaller than the sum of its proper divisors (546540).

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

409884 is a wasteful number, since it uses less digits than its factorization.

409884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34164 (or 34162 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 409884 is about 640.2218365535. The cubic root of 409884 is about 74.2825815811.

The spelling of 409884 in words is "four hundred nine thousand, eight hundred eighty-four".