417216 has 56 divisors (see below), whose sum is σ = 1152144. Its totient is φ = 133120.

The previous prime is 417203. The next prime is 417217. The reversal of 417216 is 612714.

417216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 417192 and 417201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7846 + ... + 7898.

It is an arithmetic number, because the mean of its divisors is an integer number (20574).

2⁴¹⁷²¹⁶ 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 417216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576072).

417216 is an abundant number, since it is smaller than the sum of its proper divisors (734928).

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

417216 is a wasteful number, since it uses less digits than its factorization.

417216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 99 counting only the distinct ones).

The product of its digits is 336, while the sum is 21.

The square root of 417216 is about 645.9225959819. The cubic root of 417216 is about 74.7228884950.

The spelling of 417216 in words is "four hundred seventeen thousand, two hundred sixteen".