420289000209 has 63 divisors (see below), whose sum is σ = 682716251883. Its totient is φ = 258499352592.

The previous prime is 420289000189. The next prime is 420289000217. The reversal of 420289000209 is 902000982024.

The square root of 420289000209 is 648297.

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

420289000209 is a `hidden beast` number, since 420 + 28 + 9 + 0 + 0 + 0 + 209 = 666.

It can be written as a sum of positive squares in only one way, i.e., 62172929025 + 358116071184 = 249345^2 + 598428^2 .

It is not a de Polignac number, because 420289000209 - 2¹¹ = 420288998161 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (420289000259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 227551324 + ... + 227553170.

Almost surely, 2^420289000209 is an apocalyptic number.

420289000209 is the 648297-th square number.

420289000209 is the 324149-th centered octagonal number.

It is an amenable number.

420289000209 is a deficient number, since it is larger than the sum of its proper divisors (262427251674).

420289000209 is an frugal number, since it uses more digits than its factorization.

420289000209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3738 (or 1863 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Multiplying 420289000209 by its sum of digits (36), we get a square (15130404007524 = 3889782²).

The spelling of 420289000209 in words is "four hundred twenty billion, two hundred eighty-nine million, two hundred nine", and thus it is an aban number.