404452321 has 45 divisors (see below), whose sum is σ = 541436559. Its totient is φ = 301182336.

The previous prime is 404452313. The next prime is 404452327. The reversal of 404452321 is 123254404.

It is a happy number.

The square root of 404452321 is 20111.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 369216225 + 35236096 = 19215^2 + 5936^2 .

It is not a de Polignac number, because 404452321 - 2³ = 404452313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (404452327) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 23791305 + ... + 23791321.

Almost surely, 2^404452321 is an apocalyptic number.

404452321 is the 20111-st square number.

404452321 is the 10056-th centered octagonal number.

It is an amenable number.

404452321 is a deficient number, since it is larger than the sum of its proper divisors (136984238).

404452321 is an frugal number, since it uses more digits than its factorization.

404452321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The cubic root of 404452321 is about 739.5299675177.

Multiplying 404452321 by its sum of digits (25), we get a square (10111308025 = 100555²).

It can be divided in two parts, 4044 and 52321, that added together give a palindrome (56365).

The spelling of 404452321 in words is "four hundred four million, four hundred fifty-two thousand, three hundred twenty-one".