330766400 has 84 divisors (see below), whose sum is σ = 827478660. Its totient is φ = 130099200.

The previous prime is 330766369. The next prime is 330766409. The reversal of 330766400 is 4667033.

It can be written as a sum of positive squares in 6 ways, for example, as 6190144 + 324576256 = 2488^2 + 18016^2 .

It is a super-2 number, since 2×330766400² = 218812822737920000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (330766409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95906 + ... + 99294.

Almost surely, 2^330766400 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 330766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413739330).

330766400 is an abundant number, since it is smaller than the sum of its proper divisors (496712260).

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

330766400 is a wasteful number, since it uses less digits than its factorization.

330766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3472 (or 3457 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 29.

The square root of 330766400 is about 18186.9843569515. The cubic root of 330766400 is about 691.5768738776.

The spelling of 330766400 in words is "three hundred thirty million, seven hundred sixty-six thousand, four hundred".