331104400 has 90 divisors (see below), whose sum is σ = 874496546. Its totient is φ = 120384000.

The previous prime is 331104383. The next prime is 331104437. The reversal of 331104400 is 4401133.

It can be written as a sum of positive squares in 3 ways, for example, as 47114496 + 283989904 = 6864^2 + 16852^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 44980 + ... + 51820.

Almost surely, 2^331104400 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 331104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437248273).

331104400 is an abundant number, since it is smaller than the sum of its proper divisors (543392146).

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

331104400 is a wasteful number, since it uses less digits than its factorization.

331104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6881 (or 6859 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 331104400 is about 18196.2743439419. The cubic root of 331104400 is about 691.8123607216.

Adding to 331104400 its reverse (4401133), we get a palindrome (335505533).

The spelling of 331104400 in words is "three hundred thirty-one million, one hundred four thousand, four hundred".