414430800169 has 27 divisors (see below), whose sum is σ = 432471136293. Its totient is φ = 397134819648.

The previous prime is 414430800109. The next prime is 414430800181. The reversal of 414430800169 is 961008034414.

The square root of 414430800169 is 643763.

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

It can be written as a sum of positive squares in 4 ways, for example, as 110631407769 + 303799392400 = 332613^2 + 551180^2 .

It is not a de Polignac number, because 414430800169 - 2¹⁷ = 414430669097 is a prime.

It is a super-2 number, since 2×414430800169² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (414430800109) 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, 3025042269 + ... + 3025042405.

Almost surely, 2^414430800169 is an apocalyptic number.

414430800169 is the 643763-rd square number.

414430800169 is the 321882-nd centered octagonal number.

It is an amenable number.

414430800169 is a deficient number, since it is larger than the sum of its proper divisors (18040336124).

414430800169 is an frugal number, since it uses more digits than its factorization.

414430800169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 414430800169 in words is "four hundred fourteen billion, four hundred thirty million, eight hundred thousand, one hundred sixty-nine".