413787287169 has 27 divisors (see below), whose sum is σ = 634969628553. Its totient is φ = 259610654592.

The previous prime is 413787287051. The next prime is 413787287183. The reversal of 413787287169 is 961782787314.

The square root of 413787287169 is 643263.

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

413787287169 is a `hidden beast` number, since 413 + 7 + 87 + 2 + 87 + 1 + 69 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19227427569 + 394559859600 = 138663^2 + 628140^2 .

It is not a de Polignac number, because 413787287169 - 2¹⁹ = 413786762881 is a prime.

It is a super-2 number, since 2×413787287169² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (413787287189) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 32800107 + ... + 32812719.

Almost surely, 2^413787287169 is an apocalyptic number.

413787287169 is the 643263-rd square number.

413787287169 is the 321632-nd centered octagonal number.

It is an amenable number.

413787287169 is a deficient number, since it is larger than the sum of its proper divisors (221182341384).

413787287169 is an frugal number, since it uses more digits than its factorization.

413787287169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25266 (or 12633 counting only the distinct ones).

The product of its digits is 28449792, while the sum is 63.

The spelling of 413787287169 in words is "four hundred thirteen billion, seven hundred eighty-seven million, two hundred eighty-seven thousand, one hundred sixty-nine".