413023424 has 56 divisors (see below), whose sum is σ = 902622528. Its totient is φ = 185949440.

The previous prime is 413023411. The next prime is 413023433. The reversal of 413023424 is 424320314.

It is a self number, because there is not a number n which added to its sum of digits gives 413023424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72587 + ... + 78069.

Almost surely, 2^413023424 is an apocalyptic number.

413023424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413023424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451311264).

413023424 is an abundant number, since it is smaller than the sum of its proper divisors (489599104).

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

413023424 is a wasteful number, since it uses less digits than its factorization.

413023424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5613 (or 5603 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 413023424 is about 20322.9777345742. The cubic root of 413023424 is about 744.7175026103.

Adding to 413023424 its reverse (424320314), we get a palindrome (837343738).

The spelling of 413023424 in words is "four hundred thirteen million, twenty-three thousand, four hundred twenty-four".