420127009 has 9 divisors (see below), whose sum is σ = 426388113. Its totient is φ = 413957412.

The previous prime is 420126997. The next prime is 420127091. The reversal of 420127009 is 900721024.

The square root of 420127009 is 20497.

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

It is not a de Polignac number, because 420127009 - 2¹³ = 420118817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (420127909) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2111092 + ... + 2111290.

It is an arithmetic number, because the mean of its divisors is an integer number (47376457).

Almost surely, 2^420127009 is an apocalyptic number.

420127009 is the 20497-th square number.

420127009 is the 10249-th centered octagonal number.

It is an amenable number.

420127009 is a deficient number, since it is larger than the sum of its proper divisors (6261104).

420127009 is an frugal number, since it uses more digits than its factorization.

420127009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The cubic root of 420127009 is about 748.9627195419.

Multiplying 420127009 by its sum of digits (25), we get a square (10503175225 = 102485²).

The spelling of 420127009 in words is "four hundred twenty million, one hundred twenty-seven thousand, nine".