330283872 has 96 divisors (see below), whose sum is σ = 967800960. Its totient is φ = 109584000.

The previous prime is 330283799. The next prime is 330283879. The reversal of 330283872 is 278382033.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×330283872² = 218174872206624768, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330283879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216103 + ... + 217625.

It is an arithmetic number, because the mean of its divisors is an integer number (10081260).

Almost surely, 2^330283872 is an apocalyptic number.

330283872 is a gapful number since it is divisible by the number (32) 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 330283872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483900480).

330283872 is an abundant number, since it is smaller than the sum of its proper divisors (637517088).

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

330283872 is a wasteful number, since it uses less digits than its factorization.

330283872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 330283872 is about 18173.7137646657. The cubic root of 330283872 is about 691.2404152680.

The spelling of 330283872 in words is "three hundred thirty million, two hundred eighty-three thousand, eight hundred seventy-two".