413302321 has 8 divisors (see below), whose sum is σ = 432483624. Its totient is φ = 394542720.

The previous prime is 413302301. The next prime is 413302367. The reversal of 413302321 is 123203314.

It can be written as a sum of positive squares in 4 ways, for example, as 228342321 + 184960000 = 15111^2 + 13600^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 413302321 - 2¹¹ = 413300273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413302301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103420 + ... + 107341.

It is an arithmetic number, because the mean of its divisors is an integer number (54060453).

Almost surely, 2^413302321 is an apocalyptic number.

It is an amenable number.

413302321 is a deficient number, since it is larger than the sum of its proper divisors (19181303).

413302321 is a wasteful number, since it uses less digits than its factorization.

413302321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210851.

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 413302321 is about 20329.8381941421. The cubic root of 413302321 is about 744.8850901551.

Adding to 413302321 its reverse (123203314), we get a palindrome (536505635).

The spelling of 413302321 in words is "four hundred thirteen million, three hundred two thousand, three hundred twenty-one".