563644000 has 192 divisors, whose sum is σ = 1478917440. Its totient is φ = 210739200.

The previous prime is 563643991. The next prime is 563644021. The reversal of 563644000 is 446365.

It is a self number, because there is not a number n which added to its sum of digits gives 563644000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4987944 + ... + 4988056.

It is an arithmetic number, because the mean of its divisors is an integer number (7702695).

Almost surely, 2^563644000 is an apocalyptic number.

563644000 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 563644000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739458720).

563644000 is an abundant number, since it is smaller than the sum of its proper divisors (915273440).

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

563644000 is a wasteful number, since it uses less digits than its factorization.

563644000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 563644000 is about 23741.1878388593. The cubic root of 563644000 is about 826.0410487957.

The spelling of 563644000 in words is "five hundred sixty-three million, six hundred forty-four thousand".