331000400 has 30 divisors (see below), whose sum is σ = 795229422. Its totient is φ = 132400000.

The previous prime is 331000399. The next prime is 331000427. The reversal of 331000400 is 4000133.

331000400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 5125696 + 325874704 = 2264^2 + 18052^2 .

It is a super-2 number, since 2×331000400² = 219122529600320000, which contains 22 as substring.

It is a congruent number.

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, 413351 + ... + 414150.

Almost surely, 2^331000400 is an apocalyptic number.

It is an amenable number.

331000400 is an abundant number, since it is smaller than the sum of its proper divisors (464229022).

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

331000400 is a wasteful number, since it uses less digits than its factorization.

331000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827519 (or 827508 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 331000400 is about 18193.4163916511. The cubic root of 331000400 is about 691.7399203072.

Adding to 331000400 its reverse (4000133), we get a palindrome (335000533).

The spelling of 331000400 in words is "three hundred thirty-one million, four hundred", and thus it is an aban number.