404133312 has 112 divisors (see below), whose sum is σ = 1174089600. Its totient is φ = 121666560.

The previous prime is 404133283. The next prime is 404133319. The reversal of 404133312 is 213331404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404133319) 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 15 ways as a sum of consecutive naturals, for example, 377514 + ... + 378582.

Almost surely, 2^404133312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587044800).

404133312 is an abundant number, since it is smaller than the sum of its proper divisors (769956288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

404133312 is a wasteful number, since it uses less digits than its factorization.

404133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 404133312 is about 20103.0672286594. The cubic root of 404133312 is about 739.3354833093.

Adding to 404133312 its reverse (213331404), we get a palindrome (617464716).

The spelling of 404133312 in words is "four hundred four million, one hundred thirty-three thousand, three hundred twelve".