416205563 has 16 divisors (see below), whose sum is σ = 437048640. Its totient is φ = 395974656.

The previous prime is 416205551. The next prime is 416205571. The reversal of 416205563 is 365502614.

It is a cyclic number.

It is not a de Polignac number, because 416205563 - 2¹⁰ = 416204539 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (416205523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318770 + ... + 320072.

It is an arithmetic number, because the mean of its divisors is an integer number (27315540).

Almost surely, 2^416205563 is an apocalyptic number.

416205563 is a deficient number, since it is larger than the sum of its proper divisors (20843077).

416205563 is a wasteful number, since it uses less digits than its factorization.

416205563 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526.

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 416205563 is about 20401.1167096314. The cubic root of 416205563 is about 746.6251704414.

The spelling of 416205563 in words is "four hundred sixteen million, two hundred five thousand, five hundred sixty-three".