420462009 has 40 divisors (see below), whose sum is σ = 687376800. Its totient is φ = 254016000.

The previous prime is 420461999. The next prime is 420462013. The reversal of 420462009 is 900264024.

It is not a de Polignac number, because 420462009 - 2⁹ = 420461497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (420462059) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 399534 + ... + 400584.

It is an arithmetic number, because the mean of its divisors is an integer number (17184420).

Almost surely, 2^420462009 is an apocalyptic number.

It is an amenable number.

420462009 is a deficient number, since it is larger than the sum of its proper divisors (266914791).

420462009 is a wasteful number, since it uses less digits than its factorization.

420462009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 420462009 is about 20505.1702992197. The cubic root of 420462009 is about 749.1617354324.

The spelling of 420462009 in words is "four hundred twenty million, four hundred sixty-two thousand, nine".