359488 has 28 divisors (see below), whose sum is σ = 736092. Its totient is φ = 174080.

The previous prime is 359483. The next prime is 359501. The reversal of 359488 is 884953.

It can be written as a sum of positive squares in 2 ways, for example, as 97344 + 262144 = 312^2 + 512^2 .

Its product of digits (34560) is a multiple of the sum of its prime divisors (180).

It is not an unprimeable number, because it can be changed into a prime (359483) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2556 + ... + 2692.

It is an arithmetic number, because the mean of its divisors is an integer number (26289).

2³⁵⁹⁴⁸⁸ 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 359488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368046).

359488 is an abundant number, since it is smaller than the sum of its proper divisors (376604).

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

359488 is a wasteful number, since it uses less digits than its factorization.

359488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 180 counting only the distinct ones).

The product of its digits is 34560, while the sum is 37.

The square root of 359488 is about 599.5731815217. The cubic root of 359488 is about 71.1041254712.

The spelling of 359488 in words is "three hundred fifty-nine thousand, four hundred eighty-eight".