413020413 has 12 divisors (see below), whose sum is σ = 642476380. Its totient is φ = 254166336.

The previous prime is 413020393. The next prime is 413020427. The reversal of 413020413 is 314020314.

It can be written as a sum of positive squares in 2 ways, for example, as 17288964 + 395731449 = 4158^2 + 19893^2 .

It is not a de Polignac number, because 413020413 - 2¹⁰ = 413019389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413020493) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1764928 + ... + 1765161.

Almost surely, 2^413020413 is an apocalyptic number.

It is an amenable number.

413020413 is a deficient number, since it is larger than the sum of its proper divisors (229455967).

413020413 is a wasteful number, since it uses less digits than its factorization.

413020413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3530108 (or 3530105 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 413020413 is about 20322.9036557279. The cubic root of 413020413 is about 744.7156929068.

Adding to 413020413 its reverse (314020314), we get a palindrome (727040727).

Subtracting from 413020413 its reverse (314020314), we obtain a palindrome (99000099).

The spelling of 413020413 in words is "four hundred thirteen million, twenty thousand, four hundred thirteen".