330117040 has 120 divisors (see below), whose sum is σ = 857913840. Its totient is φ = 118018560.

The previous prime is 330116993. The next prime is 330117059. The reversal of 330117040 is 40711033.

It is a junction number, because it is equal to n+sod(n) for n = 330116999 and 330117017.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 648306 + ... + 648814.

It is an arithmetic number, because the mean of its divisors is an integer number (7149282).

Almost surely, 2^330117040 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 330117040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428956920).

330117040 is an abundant number, since it is smaller than the sum of its proper divisors (527796800).

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

330117040 is a wasteful number, since it uses less digits than its factorization.

330117040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 330117040 is about 18169.1232589798. The cubic root of 330117040 is about 691.1240099037.

Adding to 330117040 its reverse (40711033), we get a palindrome (370828073).

It can be divided in two parts, 330 and 117040, that added together give a triangular number (117370 = T₄₈₄).

The spelling of 330117040 in words is "three hundred thirty million, one hundred seventeen thousand, forty".