417650472 has 64 divisors (see below), whose sum is σ = 1162953600. Its totient is φ = 138879360.

The previous prime is 417650459. The next prime is 417650479. The reversal of 417650472 is 274056714.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (417650479) 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, 96597 + ... + 100827.

It is an arithmetic number, because the mean of its divisors is an integer number (18171150).

Almost surely, 2^417650472 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 417650472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581476800).

417650472 is an abundant number, since it is smaller than the sum of its proper divisors (745303128).

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

417650472 is a wasteful number, since it uses less digits than its factorization.

417650472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4703 (or 4693 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 417650472 is about 20436.4985259217. The cubic root of 417650472 is about 747.4881730250.

The spelling of 417650472 in words is "four hundred seventeen million, six hundred fifty thousand, four hundred seventy-two".