405084 has 12 divisors (see below), whose sum is σ = 945224. Its totient is φ = 135024.

The previous prime is 405073. The next prime is 405089. The reversal of 405084 is 480504.

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

It is a self number, because there is not a number n which added to its sum of digits gives 405084.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 405084.

It is not an unprimeable number, because it can be changed into a prime (405089) by changing a digit.

405084 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16867 + ... + 16890.

2⁴⁰⁵⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

405084 is an abundant number, since it is smaller than the sum of its proper divisors (540140).

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

405084 is a wasteful number, since it uses less digits than its factorization.

405084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33764 (or 33762 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 405084 is about 636.4620962791. The cubic root of 405084 is about 73.9914769828.

Adding to 405084 its reverse (480504), we get a palindrome (885588).

The spelling of 405084 in words is "four hundred five thousand, eighty-four".