331032468 has 144 divisors (see below), whose sum is σ = 897232896. Its totient is φ = 94723200.

The previous prime is 331032467. The next prime is 331032479. The reversal of 331032468 is 864230133.

331032468 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331032463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2192193 + ... + 2192343.

It is an arithmetic number, because the mean of its divisors is an integer number (6230784).

Almost surely, 2^331032468 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 331032468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448616448).

331032468 is an abundant number, since it is smaller than the sum of its proper divisors (566200428).

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

331032468 is a wasteful number, since it uses less digits than its factorization.

331032468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 331032468 is about 18194.2976781188. The cubic root of 331032468 is about 691.7622586482.

It can be divided in two parts, 3310 and 32468, that added together give a triangular number (35778 = T₂₆₇).

The spelling of 331032468 in words is "three hundred thirty-one million, thirty-two thousand, four hundred sixty-eight".