417680056 has 16 divisors (see below), whose sum is σ = 783417240. Its totient is φ = 208768800.

The previous prime is 417680051. The next prime is 417680063. The reversal of 417680056 is 650086714.

It is a junction number, because it is equal to n+sod(n) for n = 417679997 and 417680024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417680051) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22555 + ... + 36661.

Almost surely, 2^417680056 is an apocalyptic number.

It is an amenable number.

417680056 is a deficient number, since it is larger than the sum of its proper divisors (365737184).

417680056 is a wasteful number, since it uses less digits than its factorization.

417680056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17814 (or 17810 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 417680056 is about 20437.2223161564. Note that the first 3 decimals coincide. The cubic root of 417680056 is about 747.5058218880.

The spelling of 417680056 in words is "four hundred seventeen million, six hundred eighty thousand, fifty-six".