564844800 has 432 divisors, whose sum is σ = 2100643328. Its totient is φ = 132710400.

The previous prime is 564844799. The next prime is 564844807. The reversal of 564844800 is 8448465.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (564844807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7737564 + ... + 7737636.

Almost surely, 2^564844800 is an apocalyptic number.

564844800 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 564844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050321664).

564844800 is an abundant number, since it is smaller than the sum of its proper divisors (1535798528).

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

564844800 is a wasteful number, since it uses less digits than its factorization.

564844800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 564844800 is about 23766.4637672499. The cubic root of 564844800 is about 826.6272382628.

The spelling of 564844800 in words is "five hundred sixty-four million, eight hundred forty-four thousand, eight hundred".