413213424 has 80 divisors (see below), whose sum is σ = 1217234592. Its totient is φ = 119660544.

The previous prime is 413213413. The next prime is 413213453. The reversal of 413213424 is 424312314.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 = 413213394 and 413213403.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 8869 + ... + 30084.

Almost surely, 2^413213424 is an apocalyptic number.

It is an amenable number.

413213424 is an abundant number, since it is smaller than the sum of its proper divisors (804021168).

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

413213424 is a wasteful number, since it uses less digits than its factorization.

413213424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38994 (or 38988 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 413213424 is about 20327.6517089407. The cubic root of 413213424 is about 744.8316806655.

Adding to 413213424 its reverse (424312314), we get a palindrome (837525738).

The spelling of 413213424 in words is "four hundred thirteen million, two hundred thirteen thousand, four hundred twenty-four".