330243120 has 120 divisors (see below), whose sum is σ = 1112454096. Its totient is φ = 87796224.

The previous prime is 330243107. The next prime is 330243181. The reversal of 330243120 is 21342033.

330243120 = T₄₀₆ + T₄₀₇ + ... + T₁₂₆₉.

330243120 is a `hidden beast` number, since 330 + 24 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 330243093 and 330243102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 376122 + ... + 376998.

Almost surely, 2^330243120 is an apocalyptic number.

330243120 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 330243120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556227048).

330243120 is an abundant number, since it is smaller than the sum of its proper divisors (782210976).

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

330243120 is a wasteful number, since it uses less digits than its factorization.

330243120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 330243120 is about 18172.5925503215. The cubic root of 330243120 is about 691.2119845852.

Adding to 330243120 its reverse (21342033), we get a palindrome (351585153).

The spelling of 330243120 in words is "three hundred thirty million, two hundred forty-three thousand, one hundred twenty".