331412000 has 96 divisors (see below), whose sum is σ = 842652720. Its totient is φ = 127948800.

The previous prime is 331411999. The next prime is 331412009. The reversal of 331412000 is 214133.

It can be written as a sum of positive squares in 8 ways, for example, as 25441936 + 305970064 = 5044^2 + 17492^2 .

It is not an unprimeable number, because it can be changed into a prime (331412009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 114572 + ... + 117428.

Almost surely, 2^331412000 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 331412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421326360).

331412000 is an abundant number, since it is smaller than the sum of its proper divisors (511240720).

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

331412000 is a wasteful number, since it uses less digits than its factorization.

331412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2911 (or 2893 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 331412000 is about 18204.7246614718. The cubic root of 331412000 is about 692.0265284360.

Adding to 331412000 its reverse (214133), we get a palindrome (331626133).

The spelling of 331412000 in words is "three hundred thirty-one million, four hundred twelve thousand".