330339712 has 64 divisors (see below), whose sum is σ = 674472960. Its totient is φ = 161118720.

The previous prime is 330339703. The next prime is 330339721. The reversal of 330339712 is 217933033.

It is an interprime number because it is at equal distance from previous prime (330339703) and next prime (330339721).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1481233 + ... + 1481455.

It is an arithmetic number, because the mean of its divisors is an integer number (10538640).

Almost surely, 2^330339712 is an apocalyptic number.

330339712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

330339712 is the 9088-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330339712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337236480).

330339712 is an abundant number, since it is smaller than the sum of its proper divisors (344133248).

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

330339712 is a wasteful number, since it uses less digits than its factorization.

330339712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 31.

The square root of 330339712 is about 18175.2499845257. The cubic root of 330339712 is about 691.2793683152.

The spelling of 330339712 in words is "three hundred thirty million, three hundred thirty-nine thousand, seven hundred twelve".