330749120 has 112 divisors (see below), whose sum is σ = 868375200. Its totient is φ = 119282688.

The previous prime is 330749117. The next prime is 330749129. The reversal of 330749120 is 21947033.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 330749120 = 172³ + 688³ = 394³ + 646³.

It is not an unprimeable number, because it can be changed into a prime (330749129) 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, 7691819 + ... + 7691861.

It is an arithmetic number, because the mean of its divisors is an integer number (7753350).

Almost surely, 2^330749120 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 330749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434187600).

330749120 is an abundant number, since it is smaller than the sum of its proper divisors (537626080).

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

330749120 is an frugal number, since it uses more digits than its factorization.

330749120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 330749120 is about 18186.5092857316. The cubic root of 330749120 is about 691.5648304773.

The spelling of 330749120 in words is "three hundred thirty million, seven hundred forty-nine thousand, one hundred twenty".