564421200 has 360 divisors, whose sum is σ = 2182315680. Its totient is φ = 124185600.

The previous prime is 564421183. The next prime is 564421237. The reversal of 564421200 is 2124465.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1705035 + ... + 1705365.

It is an arithmetic number, because the mean of its divisors is an integer number (6061988).

Almost surely, 2^564421200 is an apocalyptic number.

564421200 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 564421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091157840).

564421200 is an abundant number, since it is smaller than the sum of its proper divisors (1617894480).

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

564421200 is a wasteful number, since it uses less digits than its factorization.

564421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 564421200 is about 23757.5503787743. The cubic root of 564421200 is about 826.4205461665.

Adding to 564421200 its reverse (2124465), we get a palindrome (566545665).

The spelling of 564421200 in words is "five hundred sixty-four million, four hundred twenty-one thousand, two hundred".