904101409 has 2 divisors, whose sum is σ = 904101410. Its totient is φ = 904101408.

The previous prime is 904101383. The next prime is 904101413.

904101409 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 479741409 + 424360000 = 21903^2 + 20600^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 904101409 - 2¹³ = 904093217 is a prime.

It is not a weakly prime, because it can be changed into another prime (904101449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 452050704 + 452050705.

It is an arithmetic number, because the mean of its divisors is an integer number (452050705).

Almost surely, 2^904101409 is an apocalyptic number.

It is an amenable number.

904101409 is a deficient number, since it is larger than the sum of its proper divisors (1).

904101409 is an equidigital number, since it uses as much as digits as its factorization.

904101409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 904101409 is about 30068.2791160385. The cubic root of 904101409 is about 966.9537797303.

It can be divided in two parts, 90410 and 1409, that added together give a palindrome (91819).

The spelling of 904101409 in words is "nine hundred four million, one hundred one thousand, four hundred nine".