563595480 has 384 divisors, whose sum is σ = 2246400000. Its totient is φ = 119688192.

The previous prime is 563595479. The next prime is 563595517. The reversal of 563595480 is 84595365.

563595480 is a `hidden beast` number, since 5 + 635 + 9 + 5 + 4 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3782446 + ... + 3782594.

It is an arithmetic number, because the mean of its divisors is an integer number (5850000).

Almost surely, 2^563595480 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 563595480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123200000).

563595480 is an abundant number, since it is smaller than the sum of its proper divisors (1682804520).

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

563595480 is a wasteful number, since it uses less digits than its factorization.

563595480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 563595480 is about 23740.1659640366. The cubic root of 563595480 is about 826.0173454997.

The spelling of 563595480 in words is "five hundred sixty-three million, five hundred ninety-five thousand, four hundred eighty".