359552 has 24 divisors (see below), whose sum is σ = 730065. Its totient is φ = 176384.

The previous prime is 359549. The next prime is 359561. The reversal of 359552 is 255953.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 341056 + 18496 = 584^2 + 136^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=424.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 6758 + ... + 6810.

2³⁵⁹⁵⁵² is an apocalyptic number.

359552 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 359552

359552 is an abundant number, since it is smaller than the sum of its proper divisors (370513).

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

359552 is an frugal number, since it uses more digits than its factorization.

359552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 55 counting only the distinct ones).

The product of its digits is 6750, while the sum is 29.

The square root of 359552 is about 599.6265504462. The cubic root of 359552 is about 71.1083447998.

The spelling of 359552 in words is "three hundred fifty-nine thousand, five hundred fifty-two".