413015441 has 2 divisors, whose sum is σ = 413015442. Its totient is φ = 413015440.

The previous prime is 413015417. The next prime is 413015453. The reversal of 413015441 is 144510314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 344473600 + 68541841 = 18560^2 + 8279^2 .

It is a cyclic number.

It is not a de Polignac number, because 413015441 - 2¹⁰ = 413014417 is a prime.

It is a super-3 number, since 3×413015441³ (a number of 27 digits) contains 333 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (413015411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206507720 + 206507721.

It is an arithmetic number, because the mean of its divisors is an integer number (206507721).

Almost surely, 2^413015441 is an apocalyptic number.

It is an amenable number.

413015441 is a deficient number, since it is larger than the sum of its proper divisors (1).

413015441 is an equidigital number, since it uses as much as digits as its factorization.

413015441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 413015441 is about 20322.7813303199. The cubic root of 413015441 is about 744.7127045627.

Adding to 413015441 its reverse (144510314), we get a palindrome (557525755).

The spelling of 413015441 in words is "four hundred thirteen million, fifteen thousand, four hundred forty-one".