419205409 has 16 divisors (see below), whose sum is σ = 491392000. Its totient is φ = 350133840.

The previous prime is 419205331. The next prime is 419205433. The reversal of 419205409 is 904502914.

It is not a de Polignac number, because 419205409 - 2¹¹ = 419203361 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (419205439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148804 + ... + 151594.

It is an arithmetic number, because the mean of its divisors is an integer number (30712000).

Almost surely, 2^419205409 is an apocalyptic number.

It is an amenable number.

419205409 is a deficient number, since it is larger than the sum of its proper divisors (72186591).

419205409 is a wasteful number, since it uses less digits than its factorization.

419205409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3340.

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 419205409 is about 20474.5063188346. The cubic root of 419205409 is about 748.4146714873.

The spelling of 419205409 in words is "four hundred nineteen million, two hundred five thousand, four hundred nine".