413542441 has 16 divisors (see below), whose sum is σ = 458026128. Its totient is φ = 370944000.

The previous prime is 413542433. The next prime is 413542453. The reversal of 413542441 is 144245314.

It can be written as a sum of positive squares in 8 ways, for example, as 151782400 + 261760041 = 12320^2 + 16179^2 .

It is a cyclic number.

It is not a de Polignac number, because 413542441 - 2³ = 413542433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413542421) 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 15 ways as a sum of consecutive naturals, for example, 146241 + ... + 149041.

It is an arithmetic number, because the mean of its divisors is an integer number (28626633).

Almost surely, 2^413542441 is an apocalyptic number.

413542441 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

413542441 is a deficient number, since it is larger than the sum of its proper divisors (44483687).

413542441 is a wasteful number, since it uses less digits than its factorization.

413542441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3132.

The product of its digits is 7680, while the sum is 28.

The square root of 413542441 is about 20335.7429419237. The cubic root of 413542441 is about 745.0293164447.

Adding to 413542441 its reverse (144245314), we get a palindrome (557787755).

The spelling of 413542441 in words is "four hundred thirteen million, five hundred forty-two thousand, four hundred forty-one".