564408320 has 208 divisors, whose sum is σ = 1610416128. Its totient is φ = 185794560.

The previous prime is 564408287. The next prime is 564408329. The reversal of 564408320 is 23804465.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (564408329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4444097 + ... + 4444223.

Almost surely, 2^564408320 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 564408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805208064).

564408320 is an abundant number, since it is smaller than the sum of its proper divisors (1046007808).

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

564408320 is a wasteful number, since it uses less digits than its factorization.

564408320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 564408320 is about 23757.2793055097. The cubic root of 564408320 is about 826.4142598578.

The spelling of 564408320 in words is "five hundred sixty-four million, four hundred eight thousand, three hundred twenty".