413301 has 8 divisors (see below), whose sum is σ = 629824. Its totient is φ = 236160.

The previous prime is 413299. The next prime is 413353. The reversal of 413301 is 103314.

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

It is not a de Polignac number, because 413301 - 2¹ = 413299 is a prime.

It is a Duffinian number.

It is a Curzon number.

413301 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413201) by changing a digit.

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, 9820 + ... + 9861.

It is an arithmetic number, because the mean of its divisors is an integer number (78728).

2⁴¹³³⁰¹ is an apocalyptic number.

It is an amenable number.

413301 is a deficient number, since it is larger than the sum of its proper divisors (216523).

413301 is a wasteful number, since it uses less digits than its factorization.

413301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19691.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 413301 is about 642.8849041625. The cubic root of 413301 is about 74.4884296552.

Adding to 413301 its reverse (103314), we get a palindrome (516615).

The spelling of 413301 in words is "four hundred thirteen thousand, three hundred one".