330229440 has 224 divisors, whose sum is σ = 1197620160. Its totient is φ = 85598208.

The previous prime is 330229439. The next prime is 330229451. The reversal of 330229440 is 44922033.

It is a happy number.

330229440 is a `hidden beast` number, since 330 + 2 + 294 + 40 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 319164 + ... + 320196.

Almost surely, 2^330229440 is an apocalyptic number.

330229440 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 330229440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598810080).

330229440 is an abundant number, since it is smaller than the sum of its proper divisors (867390720).

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

330229440 is a wasteful number, since it uses less digits than its factorization.

330229440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1080 counting only the distinct ones).

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

The square root of 330229440 is about 18172.2161554390. The cubic root of 330229440 is about 691.2024401920.

The spelling of 330229440 in words is "three hundred thirty million, two hundred twenty-nine thousand, four hundred forty".