564300000 has 576 divisors, whose sum is σ = 2362348800. Its totient is φ = 129600000.

The previous prime is 564299947. The next prime is 564300007. The reversal of 564300000 is 3465.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564300007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29699991 + ... + 29700009.

It is an arithmetic number, because the mean of its divisors is an integer number (4101300).

Almost surely, 2^564300000 is an apocalyptic number.

564300000 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 564300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181174400).

564300000 is an abundant number, since it is smaller than the sum of its proper divisors (1798048800).

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

564300000 is a wasteful number, since it uses less digits than its factorization.

564300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 564300000 is about 23754.9994737950. Note that the first 3 decimals coincide. The cubic root of 564300000 is about 826.3613886080.

Adding to 564300000 its reverse (3465), we get a palindrome (564303465).

The spelling of 564300000 in words is "five hundred sixty-four million, three hundred thousand".