564138432 has 280 divisors, whose sum is σ = 1967221872. Its totient is φ = 157593600.

The previous prime is 564138427. The next prime is 564138437. The reversal of 564138432 is 234831465.

564138432 is a `hidden beast` number, since 5 + 641 + 3 + 8 + 4 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (564138427) and next prime (564138437).

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 (564138437) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 740932 + ... + 741692.

Almost surely, 2^564138432 is an apocalyptic number.

564138432 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564138432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983610936).

564138432 is an abundant number, since it is smaller than the sum of its proper divisors (1403083440).

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

564138432 is a wasteful number, since it uses less digits than its factorization.

564138432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 790 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 564138432 is about 23751.5985146263. The cubic root of 564138432 is about 826.2825143087.

Adding to 564138432 its reverse (234831465), we get a palindrome (798969897).

The spelling of 564138432 in words is "five hundred sixty-four million, one hundred thirty-eight thousand, four hundred thirty-two".