331234400 has 72 divisors (see below), whose sum is σ = 924159600. Its totient is φ = 113564160.

The previous prime is 331234381. The next prime is 331234403. The reversal of 331234400 is 4432133.

331234400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331234403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23975 + ... + 35174.

It is an arithmetic number, because the mean of its divisors is an integer number (12835550).

Almost surely, 2^331234400 is an apocalyptic number.

It is an amenable number.

331234400 is an abundant number, since it is smaller than the sum of its proper divisors (592925200).

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

331234400 is a wasteful number, since it uses less digits than its factorization.

331234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59176 (or 59163 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 331234400 is about 18199.8461531959. The cubic root of 331234400 is about 691.9028899113.

Adding to 331234400 its reverse (4432133), we get a palindrome (335666533).

The spelling of 331234400 in words is "three hundred thirty-one million, two hundred thirty-four thousand, four hundred".