563724000 has 288 divisors, whose sum is σ = 2287486656. Its totient is φ = 128793600.

The previous prime is 563723989. The next prime is 563724001. The reversal of 563724000 is 427365.

It is a happy number.

563724000 is a `hidden beast` number, since 5 + 637 + 24 + 0 + 0 + 0 = 666.

563724000 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 (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563724001) 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, 250882 + ... + 253118.

It is an arithmetic number, because the mean of its divisors is an integer number (7942662).

Almost surely, 2^563724000 is an apocalyptic number.

563724000 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 563724000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143743328).

563724000 is an abundant number, since it is smaller than the sum of its proper divisors (1723762656).

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

563724000 is a wasteful number, since it uses less digits than its factorization.

563724000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2275 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 563724000 is about 23742.8726147448. The cubic root of 563724000 is about 826.0801279294.

The spelling of 563724000 in words is "five hundred sixty-three million, seven hundred twenty-four thousand".