330564960 has 288 divisors, whose sum is σ = 1263094560. Its totient is φ = 78028800.

The previous prime is 330564953. The next prime is 330564967. The reversal of 330564960 is 69465033.

330564960 is a `hidden beast` number, since 3 + 3 + 0 + 5 + 649 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (330564953) and next prime (330564967).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330564967) 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, 649186 + ... + 649694.

It is an arithmetic number, because the mean of its divisors is an integer number (4385745).

Almost surely, 2^330564960 is an apocalyptic number.

330564960 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 330564960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631547280).

330564960 is an abundant number, since it is smaller than the sum of its proper divisors (932529600).

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

330564960 is a wasteful number, since it uses less digits than its factorization.

330564960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 330564960 is about 18181.4454870893. The cubic root of 330564960 is about 691.4364529888.

It can be divided in two parts, 3305 and 64960, that added together give a triangular number (68265 = T₃₆₉).

The spelling of 330564960 in words is "three hundred thirty million, five hundred sixty-four thousand, nine hundred sixty".