416914065 has 48 divisors (see below), whose sum is σ = 734977152. Its totient is φ = 218598912.

The previous prime is 416914049. The next prime is 416914067. The reversal of 416914065 is 560419614.

It is not a de Polignac number, because 416914065 - 2⁴ = 416914049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (416914067) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 828604 + ... + 829106.

It is an arithmetic number, because the mean of its divisors is an integer number (15312024).

Almost surely, 2^416914065 is an apocalyptic number.

416914065 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

416914065 is a deficient number, since it is larger than the sum of its proper divisors (318063087).

416914065 is a wasteful number, since it uses less digits than its factorization.

416914065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 416914065 is about 20418.4736207191. The cubic root of 416914065 is about 747.0485874538.

The spelling of 416914065 in words is "four hundred sixteen million, nine hundred fourteen thousand, sixty-five".