331324400 has 120 divisors (see below), whose sum is σ = 874725264. Its totient is φ = 119603200.

The previous prime is 331324393. The next prime is 331324421. The reversal of 331324400 is 4423133.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1130654 + ... + 1130946.

Almost surely, 2^331324400 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 331324400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437362632).

331324400 is an abundant number, since it is smaller than the sum of its proper divisors (543400864).

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

331324400 is a wasteful number, since it uses less digits than its factorization.

331324400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 568 counting only the distinct ones).

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

The square root of 331324400 is about 18202.3185336374. The cubic root of 331324400 is about 691.9655500909.

Adding to 331324400 its reverse (4423133), we get a palindrome (335747533).

The spelling of 331324400 in words is "three hundred thirty-one million, three hundred twenty-four thousand, four hundred".