359352 has 96 divisors (see below), whose sum is σ = 1198080. Its totient is φ = 95040.

The previous prime is 359327. The next prime is 359353. The reversal of 359352 is 253953.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (359353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11577 + ... + 11607.

It is an arithmetic number, because the mean of its divisors is an integer number (12480).

2³⁵⁹³⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 359352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599040).

359352 is an abundant number, since it is smaller than the sum of its proper divisors (838728).

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

359352 is a wasteful number, since it uses less digits than its factorization.

359352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 66 counting only the distinct ones).

The product of its digits is 4050, while the sum is 27.

The square root of 359352 is about 599.4597567811. The cubic root of 359352 is about 71.0951577349.

It can be divided in two parts, 35935 and 2, that added together give a cube (35937 = 33³).

The spelling of 359352 in words is "three hundred fifty-nine thousand, three hundred fifty-two".