904509905409 has 32 divisors (see below), whose sum is σ = 1462367280000. Its totient is φ = 547987913280.

The previous prime is 904509905407. The next prime is 904509905419.

904509905409 is a `hidden beast` number, since 9 + 0 + 4 + 5 + 0 + 9 + 90 + 540 + 9 = 666.

904509905409 is nontrivially palindromic in base 10.

904509905409 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 904509905409 - 2¹ = 904509905407 is a prime.

It is not an unprimeable number, because it can be changed into a prime (904509905407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 262527 + ... + 1370379.

It is an arithmetic number, because the mean of its divisors is an integer number (45698977500).

Almost surely, 2^904509905409 is an apocalyptic number.

904509905409 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

904509905409 is a deficient number, since it is larger than the sum of its proper divisors (557857374591).

904509905409 is a wasteful number, since it uses less digits than its factorization.

904509905409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110622 (or 1110616 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 904509905409 in words is "nine hundred four billion, five hundred nine million, nine hundred five thousand, four hundred nine".