413413 has 24 divisors (see below), whose sum is σ = 574560. Its totient is φ = 292320.

The previous prime is 413411. The next prime is 413417. The reversal of 413413 is 314314.

413413 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 413413 - 2¹ = 413411 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413411) 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 23 ways as a sum of consecutive naturals, for example, 6978 + ... + 7036.

It is an arithmetic number, because the mean of its divisors is an integer number (23940).

2⁴¹³⁴¹³ is an apocalyptic number.

It is an amenable number.

413413 is a deficient number, since it is larger than the sum of its proper divisors (161147).

413413 is a wasteful number, since it uses less digits than its factorization.

413413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 90 counting only the distinct ones).

The product of its digits is 144, while the sum is 16.

The square root of 413413 is about 642.9720056114. The cubic root of 413413 is about 74.4951575610.

Adding to 413413 its reverse (314314), we get a palindrome (727727).

Subtracting from 413413 its reverse (314314), we obtain a palindrome (99099).

The spelling of 413413 in words is "four hundred thirteen thousand, four hundred thirteen".