416424 has 16 divisors (see below), whose sum is σ = 1041120. Its totient is φ = 138800.

The previous prime is 416419. The next prime is 416441. The reversal of 416424 is 424614.

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

It is a self number, because there is not a number n which added to its sum of digits gives 416424.

It is an unprimeable number.

416424 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8652 + ... + 8699.

It is an arithmetic number, because the mean of its divisors is an integer number (65070).

2⁴¹⁶⁴²⁴ is an apocalyptic number.

It is an amenable number.

416424 is an abundant number, since it is smaller than the sum of its proper divisors (624696).

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

416424 is a wasteful number, since it uses less digits than its factorization.

416424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17360 (or 17356 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 416424 is about 645.3092281999. The cubic root of 416424 is about 74.6755764594.

The spelling of 416424 in words is "four hundred sixteen thousand, four hundred twenty-four".