330450240 has 112 divisors (see below), whose sum is σ = 1059314112. Its totient is φ = 87269376.

The previous prime is 330450217. The next prime is 330450247. The reversal of 330450240 is 42054033.

It is a happy number.

It is a super-2 number, since 2×330450240² = 218394722232115200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330450247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101112 + ... + 104328.

Almost surely, 2^330450240 is an apocalyptic number.

330450240 is a gapful number since it is divisible by the number (30) 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 330450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529657056).

330450240 is an abundant number, since it is smaller than the sum of its proper divisors (728863872).

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

330450240 is a wasteful number, since it uses less digits than its factorization.

330450240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3344 (or 3334 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 330450240 is about 18178.2903486549. The cubic root of 330450240 is about 691.3564578519.

The spelling of 330450240 in words is "three hundred thirty million, four hundred fifty thousand, two hundred forty".