563416020 has 192 divisors, whose sum is σ = 1821738240. Its totient is φ = 144446976.

The previous prime is 563416003. The next prime is 563416033. The reversal of 563416020 is 20614365.

563416020 is a `hidden beast` number, since 5 + 634 + 1 + 6 + 0 + 20 = 666.

It is a super-2 number, since 2×563416020² = 634875223185280800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3256654 + ... + 3256826.

It is an arithmetic number, because the mean of its divisors is an integer number (9488220).

Almost surely, 2^563416020 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 563416020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910869120).

563416020 is an abundant number, since it is smaller than the sum of its proper divisors (1258322220).

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

563416020 is a wasteful number, since it uses less digits than its factorization.

563416020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 563416020 is about 23736.3859928170. The cubic root of 563416020 is about 825.9296627469.

The spelling of 563416020 in words is "five hundred sixty-three million, four hundred sixteen thousand, twenty".