331384960 has 128 divisors (see below), whose sum is σ = 827411760. Its totient is φ = 126812160.

The previous prime is 331384931. The next prime is 331384969. The reversal of 331384960 is 69483133.

It can be written as a sum of positive squares in 8 ways, for example, as 139617856 + 191767104 = 11816^2 + 13848^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331384969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1915434 + ... + 1915606.

Almost surely, 2^331384960 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 331384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413705880).

331384960 is an abundant number, since it is smaller than the sum of its proper divisors (496026800).

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

331384960 is a wasteful number, since it uses less digits than its factorization.

331384960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 331384960 is about 18203.9819819731. The cubic root of 331384960 is about 692.0077070433.

The spelling of 331384960 in words is "three hundred thirty-one million, three hundred eighty-four thousand, nine hundred sixty".