564169200 has 240 divisors, whose sum is σ = 2110817280. Its totient is φ = 126120960.

The previous prime is 564169187. The next prime is 564169201. The reversal of 564169200 is 2961465.

564169200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564169201) 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, 394086 + ... + 395514.

It is an arithmetic number, because the mean of its divisors is an integer number (8795072).

Almost surely, 2^564169200 is an apocalyptic number.

564169200 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 564169200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055408640).

564169200 is an abundant number, since it is smaller than the sum of its proper divisors (1546648080).

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

564169200 is a wasteful number, since it uses less digits than its factorization.

564169200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 564169200 is about 23752.2462095693. The cubic root of 564169200 is about 826.2975357980.

The spelling of 564169200 in words is "five hundred sixty-four million, one hundred sixty-nine thousand, two hundred".