404431321 has 16 divisors (see below), whose sum is σ = 487984000. Its totient is φ = 327431808.

The previous prime is 404431277. The next prime is 404431327. The reversal of 404431321 is 123134404.

It is a cyclic number.

It is not a de Polignac number, because 404431321 - 2⁹ = 404430809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 404431292 and 404431301.

It is not an unprimeable number, because it can be changed into a prime (404431327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42061 + ... + 50773.

It is an arithmetic number, because the mean of its divisors is an integer number (30499000).

Almost surely, 2^404431321 is an apocalyptic number.

It is an amenable number.

404431321 is a deficient number, since it is larger than the sum of its proper divisors (83552679).

404431321 is a wasteful number, since it uses less digits than its factorization.

404431321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9088.

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 404431321 is about 20110.4778908906. The cubic root of 404431321 is about 739.5171679883.

Adding to 404431321 its reverse (123134404), we get a palindrome (527565725).

The spelling of 404431321 in words is "four hundred four million, four hundred thirty-one thousand, three hundred twenty-one".