564438 has 32 divisors (see below), whose sum is σ = 1313280. Its totient is φ = 158400.

The previous prime is 564437. The next prime is 564449. The reversal of 564438 is 834465.

564438 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 5 + 6³ + 4⁷ + 4⁷ + 3¹² + 8 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564437) 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, 3663 + ... + 3813.

It is an arithmetic number, because the mean of its divisors is an integer number (41040).

2⁵⁶⁴⁴³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656640).

564438 is an abundant number, since it is smaller than the sum of its proper divisors (748842).

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

564438 is a wasteful number, since it uses less digits than its factorization.

564438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252.

The product of its digits is 11520, while the sum is 30.

The square root of 564438 is about 751.2908890703. The cubic root of 564438 is about 82.6428745556.

The spelling of 564438 in words is "five hundred sixty-four thousand, four hundred thirty-eight".