417466728 has 96 divisors (see below), whose sum is σ = 1295673600. Its totient is φ = 118952064.

The previous prime is 417466717. The next prime is 417466729. The reversal of 417466728 is 827664714.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (417466729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232458 + ... + 234246.

It is an arithmetic number, because the mean of its divisors is an integer number (13496600).

Almost surely, 2^417466728 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 417466728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647836800).

417466728 is an abundant number, since it is smaller than the sum of its proper divisors (878206872).

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

417466728 is a wasteful number, since it uses less digits than its factorization.

417466728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271 (or 2264 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 417466728 is about 20432.0025450272. The cubic root of 417466728 is about 747.3785385956.

The spelling of 417466728 in words is "four hundred seventeen million, four hundred sixty-six thousand, seven hundred twenty-eight".