404311329 has 6 divisors (see below), whose sum is σ = 584005266. Its totient is φ = 269540880.

The previous prime is 404311309. The next prime is 404311333. The reversal of 404311329 is 923113404.

It can be written as a sum of positive squares in only one way, i.e., 402203025 + 2108304 = 20055^2 + 1452^2 .

It is not a de Polignac number, because 404311329 - 2⁹ = 404310817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (404311309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22461732 + ... + 22461749.

It is an arithmetic number, because the mean of its divisors is an integer number (97334211).

Almost surely, 2^404311329 is an apocalyptic number.

It is an amenable number.

404311329 is a deficient number, since it is larger than the sum of its proper divisors (179693937).

404311329 is a wasteful number, since it uses less digits than its factorization.

404311329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44923487 (or 44923484 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 404311329 is about 20107.4943491227. The cubic root of 404311329 is about 739.4440241963. Note that the first 3 decimals are identical.

The spelling of 404311329 in words is "four hundred four million, three hundred eleven thousand, three hundred twenty-nine".