417412 has 12 divisors (see below), whose sum is σ = 735196. Its totient is φ = 207360.

The previous prime is 417383. The next prime is 417419. The reversal of 417412 is 214714.

417412 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 171396 + 246016 = 414^2 + 496^2 .

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 417412.

It is not an unprimeable number, because it can be changed into a prime (417419) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 748 + ... + 1180.

2⁴¹⁷⁴¹² is an apocalyptic number.

It is an amenable number.

417412 is a deficient number, since it is larger than the sum of its proper divisors (317784).

417412 is a wasteful number, since it uses less digits than its factorization.

417412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 676 counting only the distinct ones).

The product of its digits is 224, while the sum is 19.

The square root of 417412 is about 646.0742991328. The cubic root of 417412 is about 74.7345877853.

It can be divided in two parts, 4174 and 12, that added together give a triangular number (4186 = T₉₁).

The spelling of 417412 in words is "four hundred seventeen thousand, four hundred twelve", and thus it is an iban number.