564491200 has 168 divisors, whose sum is σ = 1709980832. Its totient is φ = 178606080.

The previous prime is 564491153. The next prime is 564491201. The reversal of 564491200 is 2194465.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564491201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143662 + ... + 147538.

Almost surely, 2^564491200 is an apocalyptic number.

564491200 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 564491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854990416).

564491200 is an abundant number, since it is smaller than the sum of its proper divisors (1145489632).

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

564491200 is a wasteful number, since it uses less digits than its factorization.

564491200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3919 (or 3904 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 564491200 is about 23759.0235489592. The cubic root of 564491200 is about 826.4547092152.

The spelling of 564491200 in words is "five hundred sixty-four million, four hundred ninety-one thousand, two hundred".