413413541 has 8 divisors (see below), whose sum is σ = 415758744. Its totient is φ = 411074560.

The previous prime is 413413501. The next prime is 413413547. The reversal of 413413541 is 145314314.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 61701025 + 351712516 = 7855^2 + 18754^2 .

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 413413541 - 2¹⁴ = 413397157 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 413413541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413413547) 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, 197621 + ... + 199701.

It is an arithmetic number, because the mean of its divisors is an integer number (51969843).

Almost surely, 2^413413541 is an apocalyptic number.

It is an amenable number.

413413541 is a deficient number, since it is larger than the sum of its proper divisors (2345203).

413413541 is a wasteful number, since it uses less digits than its factorization.

413413541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3111.

The product of its digits is 2880, while the sum is 26.

The square root of 413413541 is about 20332.5733983675. The cubic root of 413413541 is about 744.9519005626.

Adding to 413413541 its reverse (145314314), we get a palindrome (558727855).

The spelling of 413413541 in words is "four hundred thirteen million, four hundred thirteen thousand, five hundred forty-one".