904121409 has 16 divisors (see below), whose sum is σ = 1215785984. Its totient is φ = 597618000.

The previous prime is 904121399. The next prime is 904121419.

904121409 is nontrivially palindromic in base 10.

904121409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (904121399) and next prime (904121419).

It is not a de Polignac number, because 904121409 - 2⁵ = 904121377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (904121419) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284262 + ... + 287424.

It is an arithmetic number, because the mean of its divisors is an integer number (75986624).

Almost surely, 2^904121409 is an apocalyptic number.

It is an amenable number.

904121409 is a deficient number, since it is larger than the sum of its proper divisors (311664575).

904121409 is a wasteful number, since it uses less digits than its factorization.

904121409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3948.

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 904121409 is about 30068.6116905986. The cubic root of 904121409 is about 966.9609098055.

The spelling of 904121409 in words is "nine hundred four million, one hundred twenty-one thousand, four hundred nine".