359840 has 48 divisors (see below), whose sum is σ = 920808. Its totient is φ = 132096.

The previous prime is 359837. The next prime is 359851. The reversal of 359840 is 48953.

359840 = 40² + 41² + ... + 104².

359840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 300304 + 59536 = 548^2 + 244^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 359840.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1994 + ... + 2166.

2³⁵⁹⁸⁴⁰ 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 359840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460404).

359840 is an abundant number, since it is smaller than the sum of its proper divisors (560968).

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

359840 is a wasteful number, since it uses less digits than its factorization.

359840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 359840 is about 599.8666518486. The cubic root of 359840 is about 71.1273255850.

The spelling of 359840 in words is "three hundred fifty-nine thousand, eight hundred forty".