564324000 has 384 divisors, whose sum is σ = 2007742464. Its totient is φ = 138240000.

The previous prime is 564323999. The next prime is 564324011. The reversal of 564324000 is 423465.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13763980 + ... + 13764020.

It is an arithmetic number, because the mean of its divisors is an integer number (5228496).

Almost surely, 2^564324000 is an apocalyptic number.

564324000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003871232).

564324000 is an abundant number, since it is smaller than the sum of its proper divisors (1443418464).

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

564324000 is a wasteful number, since it uses less digits than its factorization.

564324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 564324000 is about 23755.5046252442. The cubic root of 564324000 is about 826.3731036486.

Adding to 564324000 its reverse (423465), we get a palindrome (564747465).

The spelling of 564324000 in words is "five hundred sixty-four million, three hundred twenty-four thousand".