417928 has 32 divisors (see below), whose sum is σ = 950400. Its totient is φ = 168192.

The previous prime is 417899. The next prime is 417931. The reversal of 417928 is 829714.

417928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 417928.

It is a congruent number.

It is an unprimeable number.

417928 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 733 + ... + 1171.

It is an arithmetic number, because the mean of its divisors is an integer number (29700).

2⁴¹⁷⁹²⁸ 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 417928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475200).

417928 is an abundant number, since it is smaller than the sum of its proper divisors (532472).

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

417928 is a wasteful number, since it uses less digits than its factorization.

417928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 465 counting only the distinct ones).

The product of its digits is 4032, while the sum is 31.

The square root of 417928 is about 646.4735106716. The cubic root of 417928 is about 74.7653704555.

The spelling of 417928 in words is "four hundred seventeen thousand, nine hundred twenty-eight".