330148900 has 81 divisors (see below), whose sum is σ = 758526321. Its totient is φ = 124718880.

The previous prime is 330148873. The next prime is 330148913. The reversal of 330148900 is 9841033.

The square root of 330148900 is 18170.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 118853604 + 211295296 = 10902^2 + 14536^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4179061 + ... + 4179139.

Almost surely, 2^330148900 is an apocalyptic number.

330148900 is the 18170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330148900

330148900 is an abundant number, since it is smaller than the sum of its proper divisors (428377421).

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

330148900 is a wasteful number, since it uses less digits than its factorization.

330148900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The cubic root of 330148900 is about 691.1462429302.

Adding to 330148900 its reverse (9841033), we get a palindrome (339989933).

It can be divided in two parts, 33014 and 8900, that added together give a palindrome (41914).

The spelling of 330148900 in words is "three hundred thirty million, one hundred forty-eight thousand, nine hundred".