359380 has 48 divisors (see below), whose sum is σ = 919296. Its totient is φ = 115200.

The previous prime is 359377. The next prime is 359389. The reversal of 359380 is 83953.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (359389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2305 + ... + 2455.

It is an arithmetic number, because the mean of its divisors is an integer number (19152).

2³⁵⁹³⁸⁰ 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 359380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459648).

359380 is an abundant number, since it is smaller than the sum of its proper divisors (559916).

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

359380 is a wasteful number, since it uses less digits than its factorization.

359380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 359380 is about 599.4831106879. The cubic root of 359380 is about 71.0970042185.

The spelling of 359380 in words is "three hundred fifty-nine thousand, three hundred eighty".