330991920 has 200 divisors, whose sum is σ = 1313990304. Its totient is φ = 75644928.

The previous prime is 330991901. The next prime is 330991933. The reversal of 330991920 is 29199033.

It is a super-2 number, since 2×330991920² = 219111302210572800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 41712 + ... + 49008.

Almost surely, 2^330991920 is an apocalyptic number.

330991920 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 330991920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656995152).

330991920 is an abundant number, since it is smaller than the sum of its proper divisors (982998384).

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

330991920 is a wasteful number, since it uses less digits than its factorization.

330991920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7329 (or 7314 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The square root of 330991920 is about 18193.1833388223. The cubic root of 330991920 is about 691.7340129582.

The spelling of 330991920 in words is "three hundred thirty million, nine hundred ninety-one thousand, nine hundred twenty".