564405 has 16 divisors (see below), whose sum is σ = 912384. Its totient is φ = 297920.

The previous prime is 564401. The next prime is 564407. The reversal of 564405 is 504465.

564405 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 564405 - 2² = 564401 is a prime.

It is a Curzon number.

564405 is a lucky number.

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 564405.

It is not an unprimeable number, because it can be changed into a prime (564401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2767 + ... + 2963.

It is an arithmetic number, because the mean of its divisors is an integer number (57024).

2⁵⁶⁴⁴⁰⁵ is an apocalyptic number.

It is an amenable number.

564405 is a deficient number, since it is larger than the sum of its proper divisors (347979).

564405 is a wasteful number, since it uses less digits than its factorization.

564405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396.

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

The square root of 564405 is about 751.2689265503. The cubic root of 564405 is about 82.6412639458.

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

The spelling of 564405 in words is "five hundred sixty-four thousand, four hundred five".