331344400 has 30 divisors (see below), whose sum is σ = 796055882. Its totient is φ = 132537600.

The previous prime is 331344389. The next prime is 331344421. The reversal of 331344400 is 4443133.

It can be written as a sum of positive squares in 3 ways, for example, as 3444736 + 327899664 = 1856^2 + 18108^2 .

It is a super-2 number, since 2×331344400² = 219578222822720000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 413781 + ... + 414580.

Almost surely, 2^331344400 is an apocalyptic number.

It is an amenable number.

331344400 is an abundant number, since it is smaller than the sum of its proper divisors (464711482).

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

331344400 is a wasteful number, since it uses less digits than its factorization.

331344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828379 (or 828368 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 331344400 is about 18202.8679059098. The cubic root of 331344400 is about 691.9794730343.

Adding to 331344400 its reverse (4443133), we get a palindrome (335787533).

The spelling of 331344400 in words is "three hundred thirty-one million, three hundred forty-four thousand, four hundred".