563792040 has 288 divisors, whose sum is σ = 2202370560. Its totient is φ = 124588800.

The previous prime is 563792039. The next prime is 563792087. The reversal of 563792040 is 40297365.

563792040 is a `hidden beast` number, since 563 + 7 + 92 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×563792040² = 635722928734723200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 563791986 and 563792004.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 546325 + ... + 547355.

It is an arithmetic number, because the mean of its divisors is an integer number (7647120).

Almost surely, 2^563792040 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 563792040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101185280).

563792040 is an abundant number, since it is smaller than the sum of its proper divisors (1638578520).

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

563792040 is a wasteful number, since it uses less digits than its factorization.

563792040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 563792040 is about 23744.3054225640. The cubic root of 563792040 is about 826.1133618233.

The spelling of 563792040 in words is "five hundred sixty-three million, seven hundred ninety-two thousand, forty".