563947920 has 200 divisors, whose sum is σ = 2026890360. Its totient is φ = 145152000.

The previous prime is 563947871. The next prime is 563947921. The reversal of 563947920 is 29749365.

It is a happy number.

563947920 is a `hidden beast` number, since 5 + 639 + 4 + 7 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 67371264 + 496576656 = 8208^2 + 22284^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (563947921) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 186420 + ... + 189420.

Almost surely, 2^563947920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 563947920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013445180).

563947920 is an abundant number, since it is smaller than the sum of its proper divisors (1462942440).

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

563947920 is a wasteful number, since it uses less digits than its factorization.

563947920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3055 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 563947920 is about 23747.5876669610. The cubic root of 563947920 is about 826.1894907712.

The spelling of 563947920 in words is "five hundred sixty-three million, nine hundred forty-seven thousand, nine hundred twenty".