563880000 has 280 divisors, whose sum is σ = 1929782272. Its totient is φ = 145152000.

The previous prime is 563879957. The next prime is 563880013. The reversal of 563880000 is 88365.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 563880000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4439937 + ... + 4440063.

Almost surely, 2^563880000 is an apocalyptic number.

563880000 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 563880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964891136).

563880000 is an abundant number, since it is smaller than the sum of its proper divisors (1365902272).

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

563880000 is a wasteful number, since it uses less digits than its factorization.

563880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 563880000 is about 23746.1575839124. The cubic root of 563880000 is about 826.1563216072.

The spelling of 563880000 in words is "five hundred sixty-three million, eight hundred eighty thousand".