413485584314 has 24 divisors (see below), whose sum is σ = 681902585364. Its totient is φ = 187902792000.

The previous prime is 413485584311. The next prime is 413485584329.

It is a happy number.

413485584314 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 413427138289 + 58446025 = 642983^2 + 7645^2 .

It is not an unprimeable number, because it can be changed into a prime (413485584311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 813284 + ... + 1220000.

Almost surely, 2^413485584314 is an apocalyptic number.

413485584314 is a deficient number, since it is larger than the sum of its proper divisors (268417001050).

413485584314 is a wasteful number, since it uses less digits than its factorization.

413485584314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410942 (or 410931 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 50.

It can be divided in two parts, 413485 and 584314, that added together give a palindrome (997799).

The spelling of 413485584314 in words is "four hundred thirteen billion, four hundred eighty-five million, five hundred eighty-four thousand, three hundred fourteen".