404121321 has 12 divisors (see below), whose sum is σ = 590290740. Its totient is φ = 266386560.

The previous prime is 404121307. The next prime is 404121371. The reversal of 404121321 is 123121404.

It can be written as a sum of positive squares in 2 ways, for example, as 143137296 + 260984025 = 11964^2 + 16155^2 .

It is not a de Polignac number, because 404121321 - 2²¹ = 402024169 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 404121294 and 404121303.

It is not an unprimeable number, because it can be changed into a prime (404121371) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 251460 + ... + 253061.

It is an arithmetic number, because the mean of its divisors is an integer number (49190895).

Almost surely, 2^404121321 is an apocalyptic number.

It is an amenable number.

404121321 is a deficient number, since it is larger than the sum of its proper divisors (186169419).

404121321 is a wasteful number, since it uses less digits than its factorization.

404121321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504616 (or 504613 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 404121321 is about 20102.7689883757. The cubic root of 404121321 is about 739.3281709866.

Adding to 404121321 its reverse (123121404), we get a palindrome (527242725).

The spelling of 404121321 in words is "four hundred four million, one hundred twenty-one thousand, three hundred twenty-one".