419904009 has 72 divisors (see below), whose sum is σ = 752856000. Its totient is φ = 220729536.

The previous prime is 419903989. The next prime is 419904013. The reversal of 419904009 is 900409914.

It is not a de Polignac number, because 419904009 - 2⁸ = 419903753 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (419904019) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 841242 + ... + 841740.

Almost surely, 2^419904009 is an apocalyptic number.

It is an amenable number.

419904009 is a deficient number, since it is larger than the sum of its proper divisors (332951991).

419904009 is a wasteful number, since it uses less digits than its factorization.

419904009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 419904009 is about 20491.5594574937. The cubic root of 419904009 is about 748.8301816487.

It can be divided in two parts, 41990400 and 9, that multiplied together give a square (377913600 = 19440²).

The spelling of 419904009 in words is "four hundred nineteen million, nine hundred four thousand, nine".