413330301 has 24 divisors (see below), whose sum is σ = 618728760. Its totient is φ = 265574400.

The previous prime is 413330297. The next prime is 413330311. The reversal of 413330301 is 103033314.

It can be written as a sum of positive squares in 4 ways, for example, as 224676 + 413105625 = 474^2 + 20325^2 .

It is not a de Polignac number, because 413330301 - 2² = 413330297 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413330311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197581 + ... + 199661.

It is an arithmetic number, because the mean of its divisors is an integer number (25780365).

Almost surely, 2^413330301 is an apocalyptic number.

It is an amenable number.

413330301 is a deficient number, since it is larger than the sum of its proper divisors (205398459).

413330301 is a wasteful number, since it uses less digits than its factorization.

413330301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2877 (or 2874 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 413330301 is about 20330.5263335704. The cubic root of 413330301 is about 744.9018990086.

Adding to 413330301 its reverse (103033314), we get a palindrome (516363615).

The spelling of 413330301 in words is "four hundred thirteen million, three hundred thirty thousand, three hundred one".