330364980 has 120 divisors (see below), whose sum is σ = 1130643360. Its totient is φ = 80084160.

The previous prime is 330364967. The next prime is 330364997. The reversal of 330364980 is 89463033.

330364980 is a `hidden beast` number, since 3 + 3 + 0 + 3 + 649 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8551 + ... + 27089.

It is an arithmetic number, because the mean of its divisors is an integer number (9422028).

Almost surely, 2^330364980 is an apocalyptic number.

330364980 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 330364980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565321680).

330364980 is an abundant number, since it is smaller than the sum of its proper divisors (800278380).

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

330364980 is a wasteful number, since it uses less digits than its factorization.

330364980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18571 (or 18560 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 330364980 is about 18175.9450923466. The cubic root of 330364980 is about 691.2969934054.

The spelling of 330364980 in words is "three hundred thirty million, three hundred sixty-four thousand, nine hundred eighty".