413444424 has 32 divisors (see below), whose sum is σ = 1034496000. Its totient is φ = 137696832.

The previous prime is 413444419. The next prime is 413444443. The reversal of 413444424 is 424444314.

It is a super-3 number, since 3×413444424³ (a number of 27 digits) contains 333 as substring.

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 = 413444391 and 413444400.

It is an unprimeable number.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23962 + ... + 37430.

It is an arithmetic number, because the mean of its divisors is an integer number (32328000).

Almost surely, 2^413444424 is an apocalyptic number.

It is an amenable number.

413444424 is an abundant number, since it is smaller than the sum of its proper divisors (621051576).

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

413444424 is a wasteful number, since it uses less digits than its factorization.

413444424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14757 (or 14753 counting only the distinct ones).

The product of its digits is 24576, while the sum is 30.

The square root of 413444424 is about 20333.3328306011. The cubic root of 413444424 is about 744.9704500088.

Adding to 413444424 its reverse (424444314), we get a palindrome (837888738).

The spelling of 413444424 in words is "four hundred thirteen million, four hundred forty-four thousand, four hundred twenty-four".