417012 has 48 divisors (see below), whose sum is σ = 1075200. Its totient is φ = 125280.

The previous prime is 417007. The next prime is 417017. The reversal of 417012 is 210714.

417012 = 10⁴ + 11⁴ + ... + 18⁴.

It is an interprime number because it is at equal distance from previous prime (417007) and next prime (417017).

It is a junction number, because it is equal to n+sod(n) for n = 416982 and 417000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (417017) 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 15 ways as a sum of consecutive naturals, for example, 7039 + ... + 7097.

It is an arithmetic number, because the mean of its divisors is an integer number (22400).

2⁴¹⁷⁰¹² 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 417012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537600).

417012 is an abundant number, since it is smaller than the sum of its proper divisors (658188).

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

417012 is a wasteful number, since it uses less digits than its factorization.

417012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 417012 is about 645.7646630159. The cubic root of 417012 is about 74.7107077905.

Adding to 417012 its reverse (210714), we get a palindrome (627726).

The spelling of 417012 in words is "four hundred seventeen thousand, twelve", and thus it is an iban number.