331300400 has 60 divisors (see below), whose sum is σ = 799167600. Its totient is φ = 131984640.

The previous prime is 331300381. The next prime is 331300439. The reversal of 331300400 is 4003133.

It is a happy number.

331300400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 106061 + ... + 109139.

It is an arithmetic number, because the mean of its divisors is an integer number (13319460).

Almost surely, 2^331300400 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 331300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399583800).

331300400 is an abundant number, since it is smaller than the sum of its proper divisors (467867200).

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

331300400 is a wasteful number, since it uses less digits than its factorization.

331300400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3366 (or 3355 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 331300400 is about 18201.6592650231. The cubic root of 331300400 is about 691.9488418193.

Adding to 331300400 its reverse (4003133), we get a palindrome (335303533).

The spelling of 331300400 in words is "three hundred thirty-one million, three hundred thousand, four hundred".