564027408 has 240 divisors, whose sum is σ = 1927396480. Its totient is φ = 154586880.

The previous prime is 564027403. The next prime is 564027427. The reversal of 564027408 is 804720465.

564027408 is a `hidden beast` number, since 5 + 640 + 2 + 7 + 4 + 0 + 8 = 666.

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 (564027403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7944013 + ... + 7944083.

Almost surely, 2^564027408 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 564027408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963698240).

564027408 is an abundant number, since it is smaller than the sum of its proper divisors (1363369072).

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

564027408 is a wasteful number, since it uses less digits than its factorization.

564027408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 564027408 is about 23749.2612095619. The cubic root of 564027408 is about 826.2283058596.

The spelling of 564027408 in words is "five hundred sixty-four million, twenty-seven thousand, four hundred eight".