331204404 has 72 divisors (see below), whose sum is σ = 840413728. Its totient is φ = 101445120.

The previous prime is 331204373. The next prime is 331204411. The reversal of 331204404 is 404402133.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148014 + ... + 150234.

Almost surely, 2^331204404 is an apocalyptic number.

331204404 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331204404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420206864).

331204404 is an abundant number, since it is smaller than the sum of its proper divisors (509209324).

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

331204404 is a wasteful number, since it uses less digits than its factorization.

331204404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305 (or 2286 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 331204404 is about 18199.0220616384. The cubic root of 331204404 is about 691.8820034478.

Adding to 331204404 its reverse (404402133), we get a palindrome (735606537).

The spelling of 331204404 in words is "three hundred thirty-one million, two hundred four thousand, four hundred four".