416013663 has 16 divisors (see below), whose sum is σ = 599639040. Its totient is φ = 255028704.

The previous prime is 416013643. The next prime is 416013667. The reversal of 416013663 is 366310614.

It is not a de Polignac number, because 416013663 - 2⁶ = 416013599 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 416013663.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416013667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10023 + ... + 30536.

It is an arithmetic number, because the mean of its divisors is an integer number (37477440).

Almost surely, 2^416013663 is an apocalyptic number.

416013663 is a deficient number, since it is larger than the sum of its proper divisors (183625377).

416013663 is a wasteful number, since it uses less digits than its factorization.

416013663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40838.

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 416013663 is about 20396.4129934653. The cubic root of 416013663 is about 746.5104039182.

The spelling of 416013663 in words is "four hundred sixteen million, thirteen thousand, six hundred sixty-three".