428169996409 has 27 divisors (see below), whose sum is σ = 463150613133. Its totient is φ = 395749065600.

The previous prime is 428169996407. The next prime is 428169996503. The reversal of 428169996409 is 904699961824.

The square root of 428169996409 is 654347.

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 39507525225 + 388662471184 = 198765^2 + 623428^2 .

It is not a de Polignac number, because 428169996409 - 2¹ = 428169996407 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (428169996403) 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, 678557524 + ... + 678558154.

Almost surely, 2^428169996409 is an apocalyptic number.

428169996409 is the 654347-th square number.

428169996409 is the 327174-th centered octagonal number.

It is an amenable number.

428169996409 is a deficient number, since it is larger than the sum of its proper divisors (34980616724).

428169996409 is an frugal number, since it uses more digits than its factorization.

428169996409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 67.

The spelling of 428169996409 in words is "four hundred twenty-eight billion, one hundred sixty-nine million, nine hundred ninety-six thousand, four hundred nine".