564569280 has 336 divisors, whose sum is σ = 2156813568. Its totient is φ = 134400000.

The previous prime is 564569263. The next prime is 564569281. The reversal of 564569280 is 82965465.

564569280 is a `hidden beast` number, since 5 + 6 + 4 + 569 + 2 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564569281) 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 47 ways as a sum of consecutive naturals, for example, 2249155 + ... + 2249405.

It is an arithmetic number, because the mean of its divisors is an integer number (6419088).

Almost surely, 2^564569280 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 564569280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078406784).

564569280 is an abundant number, since it is smaller than the sum of its proper divisors (1592244288).

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

564569280 is a wasteful number, since it uses less digits than its factorization.

564569280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 564569280 is about 23760.6666573141. Note that the first 4 decimals coincide. The cubic root of 564569280 is about 826.4928123239.

The spelling of 564569280 in words is "five hundred sixty-four million, five hundred sixty-nine thousand, two hundred eighty".