564406542 has 80 divisors (see below), whose sum is σ = 1457111040. Its totient is φ = 159948432.

The previous prime is 564406541. The next prime is 564406543. The reversal of 564406542 is 245604465.

564406542 is a `hidden beast` number, since 5 + 644 + 0 + 6 + 5 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (564406541) and next prime (564406543).

It is a junction number, because it is equal to n+sod(n) for n = 564406497 and 564406506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564406541) 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 39 ways as a sum of consecutive naturals, for example, 142059 + ... + 145977.

It is an arithmetic number, because the mean of its divisors is an integer number (18213888).

Almost surely, 2^564406542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564406542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728555520).

564406542 is an abundant number, since it is smaller than the sum of its proper divisors (892704498).

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

564406542 is a wasteful number, since it uses less digits than its factorization.

564406542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4067 (or 4058 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 564406542 is about 23757.2418853704. The cubic root of 564406542 is about 826.4133920664.

The spelling of 564406542 in words is "five hundred sixty-four million, four hundred six thousand, five hundred forty-two".