413402320 has 20 divisors (see below), whose sum is σ = 961160580. Its totient is φ = 165360896.

The previous prime is 413402317. The next prime is 413402351. The reversal of 413402320 is 23204314.

It can be written as a sum of positive squares in 2 ways, for example, as 120033936 + 293368384 = 10956^2 + 17128^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2583685 + ... + 2583844.

It is an arithmetic number, because the mean of its divisors is an integer number (48058029).

Almost surely, 2^413402320 is an apocalyptic number.

413402320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413402320 is an abundant number, since it is smaller than the sum of its proper divisors (547758260).

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

413402320 is a wasteful number, since it uses less digits than its factorization.

413402320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5167542 (or 5167536 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 413402320 is about 20332.2974599527. The cubic root of 413402320 is about 744.9451605956.

Adding to 413402320 its reverse (23204314), we get a palindrome (436606634).

It can be divided in two parts, 41340 and 2320, that added together give a triangular number (43660 = T₂₉₅).

The spelling of 413402320 in words is "four hundred thirteen million, four hundred two thousand, three hundred twenty".