405828880209 has 15 divisors (see below), whose sum is σ = 606246768633. Its totient is φ = 270548764524.

The previous prime is 405828880151. The next prime is 405828880319. The reversal of 405828880209 is 902088828504.

It is a happy number.

The square root of 405828880209 is 637047.

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

405828880209 is a `hidden beast` number, since 405 + 8 + 28 + 8 + 8 + 0 + 209 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-405828880209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (405828887209) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5698032 + ... + 5768814.

Almost surely, 2^405828880209 is an apocalyptic number.

405828880209 is the 637047-th square number.

405828880209 is the 318524-th centered octagonal number.

It is an amenable number.

405828880209 is a deficient number, since it is larger than the sum of its proper divisors (200417888424).

405828880209 is an frugal number, since it uses more digits than its factorization.

405828880209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141578 (or 70786 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 405828880209 in words is "four hundred five billion, eight hundred twenty-eight million, eight hundred eighty thousand, two hundred nine".