417396 has 24 divisors (see below), whose sum is σ = 1113280. Its totient is φ = 119232.

The previous prime is 417383. The next prime is 417419. The reversal of 417396 is 693714.

It is a happy number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 417396.

It is an unprimeable number.

417396 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is an upside-down number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2401 + ... + 2568.

2⁴¹⁷³⁹⁶ is an apocalyptic number.

It is an amenable number.

417396 is an abundant number, since it is smaller than the sum of its proper divisors (695884).

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

417396 is a wasteful number, since it uses less digits than its factorization.

417396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4983 (or 4981 counting only the distinct ones).

The product of its digits is 4536, while the sum is 30.

The square root of 417396 is about 646.0619165374. The cubic root of 417396 is about 74.7336328785.

The spelling of 417396 in words is "four hundred seventeen thousand, three hundred ninety-six".