330133824 has 84 divisors (see below), whose sum is σ = 952026036. Its totient is φ = 109375488.

The previous prime is 330133801. The next prime is 330133831. The reversal of 330133824 is 428331033.

330133824 is a `hidden beast` number, since 3 + 301 + 338 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 302760000 + 27373824 = 17400^2 + 5232^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 97992 + ... + 101304.

Almost surely, 2^330133824 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 330133824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476013018).

330133824 is an abundant number, since it is smaller than the sum of its proper divisors (621892212).

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

330133824 is a wasteful number, since it uses less digits than its factorization.

330133824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3504 (or 3491 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 330133824 is about 18169.5851356051. The cubic root of 330133824 is about 691.1357225464.

Adding to 330133824 its reverse (428331033), we get a palindrome (758464857).

The spelling of 330133824 in words is "three hundred thirty million, one hundred thirty-three thousand, eight hundred twenty-four".