330501952 has 112 divisors (see below), whose sum is σ = 744321600. Its totient is φ = 144322560.

The previous prime is 330501931. The next prime is 330501959. The reversal of 330501952 is 259105033.

It is a self number, because there is not a number n which added to its sum of digits gives 330501952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330501959) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3032074 + ... + 3032182.

Almost surely, 2^330501952 is an apocalyptic number.

330501952 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 330501952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372160800).

330501952 is an abundant number, since it is smaller than the sum of its proper divisors (413819648).

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

330501952 is a wasteful number, since it uses less digits than its factorization.

330501952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 28.

The square root of 330501952 is about 18179.7126489942. The cubic root of 330501952 is about 691.3925193180.

Adding to 330501952 its reverse (259105033), we get a palindrome (589606985).

It can be divided in two parts, 3 and 30501952, that added together give a triangular number (30501955 = T₇₈₁₀).

The spelling of 330501952 in words is "three hundred thirty million, five hundred one thousand, nine hundred fifty-two".