330114960 has 240 divisors, whose sum is σ = 1323129600. Its totient is φ = 75430656.

The previous prime is 330114937. The next prime is 330114989. The reversal of 330114960 is 69411033.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104281 + ... + 107399.

It is an arithmetic number, because the mean of its divisors is an integer number (5513040).

Almost surely, 2^330114960 is an apocalyptic number.

330114960 is a gapful number since it is divisible by the number (30) 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 330114960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661564800).

330114960 is an abundant number, since it is smaller than the sum of its proper divisors (993014640).

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

330114960 is a wasteful number, since it uses less digits than its factorization.

330114960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3155 (or 3136 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 330114960 is about 18169.0660189235. The cubic root of 330114960 is about 691.1225583570.

Adding to 330114960 its reverse (69411033), we get a palindrome (399525993).

The spelling of 330114960 in words is "three hundred thirty million, one hundred fourteen thousand, nine hundred sixty".