564522400 has 288 divisors, whose sum is σ = 1637895168. Its totient is φ = 188006400.

The previous prime is 564522397. The next prime is 564522403. The reversal of 564522400 is 4225465.

It is an interprime number because it is at equal distance from previous prime (564522397) and next prime (564522403).

It is a super-4 number, since 4×564522400⁴ (a number of 36 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (564522403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5480749 + ... + 5480851.

It is an arithmetic number, because the mean of its divisors is an integer number (5687136).

Almost surely, 2^564522400 is an apocalyptic number.

564522400 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 564522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818947584).

564522400 is an abundant number, since it is smaller than the sum of its proper divisors (1073372768).

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

564522400 is a wasteful number, since it uses less digits than its factorization.

564522400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 564522400 is about 23759.6801325270. The cubic root of 564522400 is about 826.4699352641.

Adding to 564522400 its reverse (4225465), we get a palindrome (568747865).

The spelling of 564522400 in words is "five hundred sixty-four million, five hundred twenty-two thousand, four hundred".