564642432 has 192 divisors, whose sum is σ = 1704917760. Its totient is φ = 179159040.

The previous prime is 564642373. The next prime is 564642439. The reversal of 564642432 is 234246465.

564642432 is a `hidden beast` number, since 5 + 6 + 4 + 642 + 4 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564642439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3463983 + ... + 3464145.

It is an arithmetic number, because the mean of its divisors is an integer number (8879780).

Almost surely, 2^564642432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564642432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852458880).

564642432 is an abundant number, since it is smaller than the sum of its proper divisors (1140275328).

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

564642432 is a wasteful number, since it uses less digits than its factorization.

564642432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 296 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 564642432 is about 23762.2059582018. The cubic root of 564642432 is about 826.5285073769.

Adding to 564642432 its reverse (234246465), we get a palindrome (798888897).

The spelling of 564642432 in words is "five hundred sixty-four million, six hundred forty-two thousand, four hundred thirty-two".