330029364 has 96 divisors (see below), whose sum is σ = 936714240. Its totient is φ = 88284672.

The previous prime is 330029363. The next prime is 330029389. The reversal of 330029364 is 463920033.

It is a super-2 number, since 2×330029364² = 217838762204488992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330029363) 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, 340809 + ... + 341775.

It is an arithmetic number, because the mean of its divisors is an integer number (9757440).

Almost surely, 2^330029364 is an apocalyptic number.

330029364 is a gapful number since it is divisible by the number (34) 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 330029364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468357120).

330029364 is an abundant number, since it is smaller than the sum of its proper divisors (606684876).

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

330029364 is a wasteful number, since it uses less digits than its factorization.

330029364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

The square root of 330029364 is about 18166.7103241066. The cubic root of 330029364 is about 691.0628191273.

Adding to 330029364 its reverse (463920033), we get a palindrome (793949397).

The spelling of 330029364 in words is "three hundred thirty million, twenty-nine thousand, three hundred sixty-four".