330304000 has 160 divisors (see below), whose sum is σ = 889224336. Its totient is φ = 121651200.

The previous prime is 330303991. The next prime is 330304001. The reversal of 330304000 is 403033.

It can be written as a sum of positive squares in 8 ways, for example, as 1679616 + 328624384 = 1296^2 + 18128^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330304001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 831802 + ... + 832198.

Almost surely, 2^330304000 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 330304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444612168).

330304000 is an abundant number, since it is smaller than the sum of its proper divisors (558920336).

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

330304000 is an equidigital number, since it uses as much as digits as its factorization.

330304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 13.

The square root of 330304000 is about 18174.2675230668. The cubic root of 330304000 is about 691.2544567291.

Adding to 330304000 its reverse (403033), we get a palindrome (330707033).

The spelling of 330304000 in words is "three hundred thirty million, three hundred four thousand".