414416424 has 32 divisors (see below), whose sum is σ = 1036775520. Its totient is φ = 138040896.

The previous prime is 414416417. The next prime is 414416441. The reversal of 414416424 is 424614414.

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

It is a junction number, because it is equal to n+sod(n) for n = 414416391 and 414416400.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33742 + ... + 44354.

It is an arithmetic number, because the mean of its divisors is an integer number (32399235).

Almost surely, 2^414416424 is an apocalyptic number.

It is an amenable number.

414416424 is an abundant number, since it is smaller than the sum of its proper divisors (622359096).

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

414416424 is a wasteful number, since it uses less digits than its factorization.

414416424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12249 (or 12245 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 414416424 is about 20357.2204389499. The cubic root of 414416424 is about 745.5537969015.

The spelling of 414416424 in words is "four hundred fourteen million, four hundred sixteen thousand, four hundred twenty-four".