330746000 has 80 divisors (see below), whose sum is σ = 861330288. Its totient is φ = 122112000.

The previous prime is 330745993. The next prime is 330746069. The reversal of 330746000 is 647033.

It can be written as a sum of positive squares in 8 ways, for example, as 101284096 + 229461904 = 10064^2 + 15148^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 19640 + ... + 32360.

Almost surely, 2^330746000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330746000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430665144).

330746000 is an abundant number, since it is smaller than the sum of its proper divisors (530584288).

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

330746000 is a wasteful number, since it uses less digits than its factorization.

330746000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12757 (or 12741 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 23.

The square root of 330746000 is about 18186.4235076609. The cubic root of 330746000 is about 691.5626559298.

The spelling of 330746000 in words is "three hundred thirty million, seven hundred forty-six thousand".