564094800 has 240 divisors, whose sum is σ = 2114200000. Its totient is φ = 142456320.

The previous prime is 564094789. The next prime is 564094807. The reversal of 564094800 is 8490465.

564094800 is a `hidden beast` number, since 5 + 640 + 9 + 4 + 8 + 0 + 0 = 666.

564094800 is digitally balanced in base 2, 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 Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564094807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203826 + ... + 206574.

Almost surely, 2^564094800 is an apocalyptic number.

564094800 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 564094800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057100000).

564094800 is an abundant number, since it is smaller than the sum of its proper divisors (1550105200).

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

564094800 is a wasteful number, since it uses less digits than its factorization.

564094800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2795 (or 2778 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 564094800 is about 23750.6799902655. The cubic root of 564094800 is about 826.2612114475.

The spelling of 564094800 in words is "five hundred sixty-four million, ninety-four thousand, eight hundred".