330450120 has 576 divisors, whose sum is σ = 1478917440. Its totient is φ = 62899200.

The previous prime is 330450101. The next prime is 330450139. The reversal of 330450120 is 21054033.

It is an interprime number because it is at equal distance from previous prime (330450101) and next prime (330450139).

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 = 330450093 and 330450102.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2522455 + ... + 2522585.

It is an arithmetic number, because the mean of its divisors is an integer number (2567565).

Almost surely, 2^330450120 is an apocalyptic number.

330450120 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 330450120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739458720).

330450120 is an abundant number, since it is smaller than the sum of its proper divisors (1148467320).

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

330450120 is a wasteful number, since it uses less digits than its factorization.

330450120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 172 counting only the distinct ones).

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

The square root of 330450120 is about 18178.2870480142. The cubic root of 330450120 is about 691.3563741653.

The spelling of 330450120 in words is "three hundred thirty million, four hundred fifty thousand, one hundred twenty".