417424 has 20 divisors (see below), whose sum is σ = 924544. Its totient is φ = 178848.

The previous prime is 417419. The next prime is 417437. The reversal of 417424 is 424714.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 417395 and 417404.

It is a congruent number.

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, 1752 + ... + 1975.

2⁴¹⁷⁴²⁴ is an apocalyptic number.

It is an amenable number.

417424 is an abundant number, since it is smaller than the sum of its proper divisors (507120).

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

417424 is a wasteful number, since it uses less digits than its factorization.

417424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3742 (or 3736 counting only the distinct ones).

The product of its digits is 896, while the sum is 22.

The square root of 417424 is about 646.0835859237. The cubic root of 417424 is about 74.7353039494.

It can be divided in two parts, 417 and 424, that added together give a square (841 = 29²).

The spelling of 417424 in words is "four hundred seventeen thousand, four hundred twenty-four", and thus it is an iban number.