413424320 has 56 divisors (see below), whose sum is σ = 1008510048. Its totient is φ = 161331200.

The previous prime is 413424311. The next prime is 413424337. The reversal of 413424320 is 23424314.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

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, 2636 + ... + 28875.

It is an arithmetic number, because the mean of its divisors is an integer number (18009108).

Almost surely, 2^413424320 is an apocalyptic number.

413424320 is a gapful number since it is divisible by the number (40) 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 413424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504255024).

413424320 is an abundant number, since it is smaller than the sum of its proper divisors (595085728).

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

413424320 is a wasteful number, since it uses less digits than its factorization.

413424320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31569 (or 31559 counting only the distinct ones).

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

The square root of 413424320 is about 20332.8384639233. The cubic root of 413424320 is about 744.9583749246.

Adding to 413424320 its reverse (23424314), we get a palindrome (436848634).

The spelling of 413424320 in words is "four hundred thirteen million, four hundred twenty-four thousand, three hundred twenty".