332352 has 42 divisors (see below), whose sum is σ = 954278. Its totient is φ = 110592.

The previous prime is 332317. The next prime is 332393. The reversal of 332352 is 253233.

It can be written as a sum of positive squares in only one way, i.e., 331776 + 576 = 576^2 + 24^2 .

It is a super-2 number, since 2×332352² = 220915703808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 288 + ... + 864.

2³³²³⁵² is an apocalyptic number.

332352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is a pronic number, being equal to 576×577.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477139).

332352 is an abundant number, since it is smaller than the sum of its proper divisors (621926).

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

332352 is a wasteful number, since it uses less digits than its factorization.

332352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 582 counting only the distinct ones).

The product of its digits is 540, while the sum is 18.

The square root of 332352 is about 576.4997831743. The cubic root of 332352 is about 69.2680187008.

Adding to 332352 its reverse (253233), we get a palindrome (585585).

It can be divided in two parts, 3323 and 52, that added together give a cube (3375 = 15³).

The spelling of 332352 in words is "three hundred thirty-two thousand, three hundred fifty-two".