331398048 has 96 divisors (see below), whose sum is σ = 905506560. Its totient is φ = 106030080.

The previous prime is 331398043. The next prime is 331398059. The reversal of 331398048 is 840893133.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 331397997 and 331398015.

It is not an unprimeable number, because it can be changed into a prime (331398043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280018 + ... + 281198.

It is an arithmetic number, because the mean of its divisors is an integer number (9432360).

Almost surely, 2^331398048 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 331398048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452753280).

331398048 is an abundant number, since it is smaller than the sum of its proper divisors (574108512).

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

331398048 is a wasteful number, since it uses less digits than its factorization.

331398048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 331398048 is about 18204.3414602122. The cubic root of 331398048 is about 692.0168171707.

The spelling of 331398048 in words is "three hundred thirty-one million, three hundred ninety-eight thousand, forty-eight".