359790 has 32 divisors (see below), whose sum is σ = 881280. Its totient is φ = 93984.

The previous prime is 359783. The next prime is 359837. The reversal of 359790 is 97953.

359790 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1921 + ... + 2099.

It is an arithmetic number, because the mean of its divisors is an integer number (27540).

2³⁵⁹⁷⁹⁰ is an apocalyptic number.

359790 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 359790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440640).

359790 is an abundant number, since it is smaller than the sum of its proper divisors (521490).

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

359790 is a wasteful number, since it uses less digits than its factorization.

359790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256.

The product of its (nonzero) digits is 8505, while the sum is 33.

The square root of 359790 is about 599.8249744717. The cubic root of 359790 is about 71.1240310365.

The spelling of 359790 in words is "three hundred fifty-nine thousand, seven hundred ninety".