417478064 has 40 divisors (see below), whose sum is σ = 831107520. Its totient is φ = 203053568.

The previous prime is 417478049. The next prime is 417478069. The reversal of 417478064 is 460874714.

It is not an unprimeable number, because it can be changed into a prime (417478069) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 128492 + ... + 131700.

It is an arithmetic number, because the mean of its divisors is an integer number (20777688).

Almost surely, 2^417478064 is an apocalyptic number.

It is an amenable number.

417478064 is a deficient number, since it is larger than the sum of its proper divisors (413629456).

417478064 is a wasteful number, since it uses less digits than its factorization.

417478064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3437 (or 3431 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 41.

The square root of 417478064 is about 20432.2799510970. The cubic root of 417478064 is about 747.3853033714.

The spelling of 417478064 in words is "four hundred seventeen million, four hundred seventy-eight thousand, sixty-four".