330048000 has 320 divisors, whose sum is σ = 1225635840. Its totient is φ = 87552000.

The previous prime is 330047987. The next prime is 330048001. The reversal of 330048000 is 840033.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (330048001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1727905 + ... + 1728095.

It is an arithmetic number, because the mean of its divisors is an integer number (3830112).

Almost surely, 2^330048000 is an apocalyptic number.

330048000 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 330048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612817920).

330048000 is an abundant number, since it is smaller than the sum of its proper divisors (895587840).

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

330048000 is an equidigital number, since it uses as much as digits as its factorization.

330048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 330048000 is about 18167.2232330645. The cubic root of 330048000 is about 691.0758264591.

Adding to 330048000 its reverse (840033), we get a palindrome (330888033).

The spelling of 330048000 in words is "three hundred thirty million, forty-eight thousand".