417680060 has 48 divisors (see below), whose sum is σ = 1012799424. Its totient is φ = 141723648.

The previous prime is 417680051. The next prime is 417680063. The reversal of 417680060 is 60086714.

It is a junction number, because it is equal to n+sod(n) for n = 417679999 and 417680026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417680063) 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, 1799 + ... + 28958.

It is an arithmetic number, because the mean of its divisors is an integer number (21099988).

Almost surely, 2^417680060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 417680060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506399712).

417680060 is an abundant number, since it is smaller than the sum of its proper divisors (595119364).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

417680060 is a wasteful number, since it uses less digits than its factorization.

417680060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30870 (or 30868 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 417680060 is about 20437.2224140170. Note that the first 3 decimals coincide. The cubic root of 417680060 is about 747.5058242743.

The spelling of 417680060 in words is "four hundred seventeen million, six hundred eighty thousand, sixty".