417320 has 16 divisors (see below), whose sum is σ = 939060. Its totient is φ = 166912.

The previous prime is 417317. The next prime is 417331. The reversal of 417320 is 23714.

It is a happy number.

417320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 417316 + 4 = 646^2 + 2^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5177 + ... + 5256.

2⁴¹⁷³²⁰ is an apocalyptic number.

417320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

417320 is an abundant number, since it is smaller than the sum of its proper divisors (521740).

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

417320 is a wasteful number, since it uses less digits than its factorization.

417320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10444 (or 10440 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 417320 is about 646.0030959678. The cubic root of 417320 is about 74.7290967379.

It can be divided in two parts, 417 and 320, that added together give a palindrome (737).

The spelling of 417320 in words is "four hundred seventeen thousand, three hundred twenty", and thus it is an iban number.