405564 has 12 divisors (see below), whose sum is σ = 946344. Its totient is φ = 135184.

The previous prime is 405553. The next prime is 405577. The reversal of 405564 is 465504.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

405564 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, 16887 + ... + 16910.

It is an arithmetic number, because the mean of its divisors is an integer number (78862).

2⁴⁰⁵⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

405564 is an abundant number, since it is smaller than the sum of its proper divisors (540780).

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

405564 is a wasteful number, since it uses less digits than its factorization.

405564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33804 (or 33802 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 405564 is about 636.8390691533. The cubic root of 405564 is about 74.0206905864.

It can be divided in two parts, 405 and 564, that added together give a palindrome (969).

The spelling of 405564 in words is "four hundred five thousand, five hundred sixty-four".