359440 has 20 divisors (see below), whose sum is σ = 835884. Its totient is φ = 143744.

The previous prime is 359419. The next prime is 359441. The reversal of 359440 is 44953.

It can be written as a sum of positive squares in 2 ways, for example, as 278784 + 80656 = 528^2 + 284^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×359440² = 258394227200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (359441) 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, 2167 + ... + 2326.

2³⁵⁹⁴⁴⁰ is an apocalyptic number.

It is an amenable number.

359440 is an abundant number, since it is smaller than the sum of its proper divisors (476444).

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

359440 is a wasteful number, since it uses less digits than its factorization.

359440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4506 (or 4500 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 359440 is about 599.5331517106. The cubic root of 359440 is about 71.1009606461.

The spelling of 359440 in words is "three hundred fifty-nine thousand, four hundred forty".