404001333 has 6 divisors (see below), whose sum is σ = 583557494. Its totient is φ = 269334216.

The previous prime is 404001319. The next prime is 404001397. The reversal of 404001333 is 333100404.

It can be written as a sum of positive squares in only one way, i.e., 371988369 + 32012964 = 19287^2 + 5658^2 .

It is not a de Polignac number, because 404001333 - 2¹⁰ = 404000309 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404021333) 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, 22444510 + ... + 22444527.

Almost surely, 2^404001333 is an apocalyptic number.

It is an amenable number.

404001333 is a deficient number, since it is larger than the sum of its proper divisors (179556161).

404001333 is a wasteful number, since it uses less digits than its factorization.

404001333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44889043 (or 44889040 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 404001333 is about 20099.7844018288. The cubic root of 404001333 is about 739.2549922281.

Adding to 404001333 its reverse (333100404), we get a palindrome (737101737).

The spelling of 404001333 in words is "four hundred four million, one thousand, three hundred thirty-three".