331395948 has 240 divisors, whose sum is σ = 1015993440. Its totient is φ = 93312000.

The previous prime is 331395947. The next prime is 331395973. The reversal of 331395948 is 849593133.

It is not an unprimeable number, because it can be changed into a prime (331395947) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3281098 + ... + 3281198.

It is an arithmetic number, because the mean of its divisors is an integer number (4233306).

Almost surely, 2^331395948 is an apocalyptic number.

331395948 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331395948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507996720).

331395948 is an abundant number, since it is smaller than the sum of its proper divisors (684597492).

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

331395948 is a wasteful number, since it uses less digits than its factorization.

331395948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 179 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 331395948 is about 18204.2837815719. The cubic root of 331395948 is about 692.0153554457.

The spelling of 331395948 in words is "three hundred thirty-one million, three hundred ninety-five thousand, nine hundred forty-eight".