564769920 has 512 divisors, whose sum is σ = 2257839360. Its totient is φ = 118947840.

The previous prime is 564769883. The next prime is 564769921. The reversal of 564769920 is 29967465.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 564769920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564769921) 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 63 ways as a sum of consecutive naturals, for example, 33221752 + ... + 33221768.

Almost surely, 2^564769920 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 564769920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128919680).

564769920 is an abundant number, since it is smaller than the sum of its proper divisors (1693069440).

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

564769920 is a wasteful number, since it uses less digits than its factorization.

564769920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The square root of 564769920 is about 23764.8883860202. Note that the first 3 decimals coincide. The cubic root of 564769920 is about 826.5907087105.

The spelling of 564769920 in words is "five hundred sixty-four million, seven hundred sixty-nine thousand, nine hundred twenty".