563652000 has 384 divisors, whose sum is σ = 2179457280. Its totient is φ = 141004800.

The previous prime is 563651989. The next prime is 563652029. The reversal of 563652000 is 256365.

563652000 is a `hidden beast` number, since 5 + 6 + 3 + 652 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1835847 + ... + 1836153.

It is an arithmetic number, because the mean of its divisors is an integer number (5675670).

Almost surely, 2^563652000 is an apocalyptic number.

563652000 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 563652000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089728640).

563652000 is an abundant number, since it is smaller than the sum of its proper divisors (1615805280).

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

563652000 is a wasteful number, since it uses less digits than its factorization.

563652000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 563652000 is about 23741.3563218280. The cubic root of 563652000 is about 826.0449568755.

The spelling of 563652000 in words is "five hundred sixty-three million, six hundred fifty-two thousand".