330752 has 44 divisors (see below), whose sum is σ = 736920. Its totient is φ = 147456.

The previous prime is 330749. The next prime is 330767. The reversal of 330752 is 257033.

330752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17399 + ... + 17417.

2³³⁰⁷⁵² is an apocalyptic number.

330752 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 330752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368460).

330752 is an abundant number, since it is smaller than the sum of its proper divisors (406168).

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

330752 is a wasteful number, since it uses less digits than its factorization.

330752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 20.

The square root of 330752 is about 575.1104241796. The cubic root of 330752 is about 69.1566837740.

Adding to 330752 its reverse (257033), we get a palindrome (587785).

It can be divided in two parts, 330 and 752, that multiplied together give a triangular number (248160 = T₇₀₄).

The spelling of 330752 in words is "three hundred thirty thousand, seven hundred fifty-two".