417675980 has 48 divisors (see below), whose sum is σ = 931936320. Its totient is φ = 156941568.

The previous prime is 417675971. The next prime is 417676001. The reversal of 417675980 is 89576714.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11729 + ... + 31191.

It is an arithmetic number, because the mean of its divisors is an integer number (19415340).

Almost surely, 2^417675980 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 417675980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465968160).

417675980 is an abundant number, since it is smaller than the sum of its proper divisors (514260340).

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

417675980 is a wasteful number, since it uses less digits than its factorization.

417675980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19538 (or 19536 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 47.

The square root of 417675980 is about 20437.1225959038. The cubic root of 417675980 is about 747.5033903270.

The spelling of 417675980 in words is "four hundred seventeen million, six hundred seventy-five thousand, nine hundred eighty".