564545200 has 60 divisors (see below), whose sum is σ = 1385223840. Its totient is φ = 221006080.

The previous prime is 564545183. The next prime is 564545203. The reversal of 564545200 is 2545465.

It is a super-2 number, since 2×564545200² = 637422565686080000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (564545203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3786 + ... + 33814.

It is an arithmetic number, because the mean of its divisors is an integer number (23087064).

Almost surely, 2^564545200 is an apocalyptic number.

564545200 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 564545200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692611920).

564545200 is an abundant number, since it is smaller than the sum of its proper divisors (820678640).

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

564545200 is a wasteful number, since it uses less digits than its factorization.

564545200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30094 (or 30083 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

The square root of 564545200 is about 23760.1599321217. The cubic root of 564545200 is about 826.4810616374.

The spelling of 564545200 in words is "five hundred sixty-four million, five hundred forty-five thousand, two hundred".