413204857608481 has 9 divisors (see below), whose sum is σ = 414007086793521. Its totient is φ = 412404180034932.

The previous prime is 413204857608467. The next prime is 413204857608493. The reversal of 413204857608481 is 184806758402314.

It is a happy number.

The square root of 413204857608481 is 20327441.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 413204857608481 - 2⁵ = 413204857608449 is a prime.

It is a super-2 number, since 2×413204857608481² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413204857608401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10631232210 + ... + 10631271076.

Almost surely, 2^{413204857608481} is an apocalyptic number.

413204857608481 is the 20327441-st square number.

413204857608481 is the 10163721-st centered octagonal number.

It is an amenable number.

413204857608481 is a deficient number, since it is larger than the sum of its proper divisors (802229185040).

413204857608481 is an frugal number, since it uses more digits than its factorization.

413204857608481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78780 (or 39390 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 61.

The spelling of 413204857608481 in words is "four hundred thirteen trillion, two hundred four billion, eight hundred fifty-seven million, six hundred eight thousand, four hundred eighty-one".