330377220 has 72 divisors (see below), whose sum is σ = 1018606680. Its totient is φ = 86653440.

The previous prime is 330377209. The next prime is 330377227. The reversal of 330377220 is 22773033.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 82944 + 330294276 = 288^2 + 18174^2 .

It is not an unprimeable number, because it can be changed into a prime (330377227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4065 + ... + 26024.

It is an arithmetic number, because the mean of its divisors is an integer number (14147315).

Almost surely, 2^330377220 is an apocalyptic number.

330377220 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 330377220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509303340).

330377220 is an abundant number, since it is smaller than the sum of its proper divisors (688229460).

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

330377220 is a wasteful number, since it uses less digits than its factorization.

330377220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30165 (or 30160 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 27.

The square root of 330377220 is about 18176.2817979916. The cubic root of 330377220 is about 691.3055308022.

The spelling of 330377220 in words is "three hundred thirty million, three hundred seventy-seven thousand, two hundred twenty".