330097200 has 120 divisors (see below), whose sum is σ = 1065556800. Its totient is φ = 87348480.

The previous prime is 330097199. The next prime is 330097223. The reversal of 330097200 is 2790033.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×330097200² = 217928322895680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165811 + ... + 167789.

It is an arithmetic number, because the mean of its divisors is an integer number (8879640).

Almost surely, 2^330097200 is an apocalyptic number.

330097200 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 330097200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532778400).

330097200 is an abundant number, since it is smaller than the sum of its proper divisors (735459600).

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

330097200 is a wasteful number, since it uses less digits than its factorization.

330097200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2139 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 24.

The square root of 330097200 is about 18168.5772695608. The cubic root of 330097200 is about 691.1101641325.

The spelling of 330097200 in words is "three hundred thirty million, ninety-seven thousand, two hundred".