417412728 has 96 divisors (see below), whose sum is σ = 1162652400. Its totient is φ = 135235584.

The previous prime is 417412711. The next prime is 417412741. The reversal of 417412728 is 827214714.

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

It is a junction number, because it is equal to n+sod(n) for n = 417412692 and 417412701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 411550 + ... + 412562.

Almost surely, 2^417412728 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 417412728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581326200).

417412728 is an abundant number, since it is smaller than the sum of its proper divisors (745239672).

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

417412728 is a wasteful number, since it uses less digits than its factorization.

417412728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1174 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 417412728 is about 20430.6810459172. The cubic root of 417412728 is about 747.3463123297.

The spelling of 417412728 in words is "four hundred seventeen million, four hundred twelve thousand, seven hundred twenty-eight".