409685764489 has 27 divisors (see below), whose sum is σ = 455225147797. Its totient is φ = 368596663424.

The previous prime is 409685764441. The next prime is 409685764511. The reversal of 409685764489 is 984467586904.

The square root of 409685764489 is 640067.

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 39316148089 + 370369616400 = 198283^2 + 608580^2 .

It is not a de Polignac number, because 409685764489 - 2¹³ = 409685756297 is a prime.

It is a super-3 number, since 3×409685764489³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (409685764429) 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, 250265379 + ... + 250267015.

Almost surely, 2^409685764489 is an apocalyptic number.

409685764489 is the 640067-th square number.

409685764489 is the 320034-th centered octagonal number.

It is an amenable number.

409685764489 is a deficient number, since it is larger than the sum of its proper divisors (45539383308).

409685764489 is an frugal number, since it uses more digits than its factorization.

409685764489 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3354 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 70.

The spelling of 409685764489 in words is "four hundred nine billion, six hundred eighty-five million, seven hundred sixty-four thousand, four hundred eighty-nine".