563876000 has 96 divisors (see below), whose sum is σ = 1433512080. Its totient is φ = 217728000.

The previous prime is 563875999. The next prime is 563876003. The reversal of 563876000 is 678365.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 102657424 + 461218576 = 10132^2 + 21476^2 .

It is a super-2 number, since 2×563876000² = 635912286752000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (563876003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113570 + ... + 118430.

Almost surely, 2^563876000 is an apocalyptic number.

563876000 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 563876000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716756040).

563876000 is an abundant number, since it is smaller than the sum of its proper divisors (869636080).

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

563876000 is a wasteful number, since it uses less digits than its factorization.

563876000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4915 (or 4897 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 563876000 is about 23746.0733596104. The cubic root of 563876000 is about 826.1543680987.

The spelling of 563876000 in words is "five hundred sixty-three million, eight hundred seventy-six thousand".