330405120 has 432 divisors, whose sum is σ = 1262701440. Its totient is φ = 79478784.

The previous prime is 330405109. The next prime is 330405121. The reversal of 330405120 is 21504033.

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 = 330405093 and 330405102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330405121) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 7683819 + ... + 7683861.

It is an arithmetic number, because the mean of its divisors is an integer number (2922920).

Almost surely, 2^330405120 is an apocalyptic number.

330405120 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 330405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631350720).

330405120 is an abundant number, since it is smaller than the sum of its proper divisors (932296320).

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

330405120 is a wasteful number, since it uses less digits than its factorization.

330405120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 330405120 is about 18177.0492654886. The cubic root of 330405120 is about 691.3249902566.

Adding to 330405120 its reverse (21504033), we get a palindrome (351909153).

It can be divided in two parts, 330 and 405120, that added together give a triangular number (405450 = T₉₀₀).

The spelling of 330405120 in words is "three hundred thirty million, four hundred five thousand, one hundred twenty".