359800 has 48 divisors (see below), whose sum is σ = 959760. Its totient is φ = 122880.

The previous prime is 359783. The next prime is 359837. The reversal of 359800 is 8953.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

359800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1272 + ... + 1528.

It is an arithmetic number, because the mean of its divisors is an integer number (19995).

2³⁵⁹⁸⁰⁰ 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 359800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479880).

359800 is an abundant number, since it is smaller than the sum of its proper divisors (599960).

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

359800 is a wasteful number, since it uses less digits than its factorization.

359800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 359800 is about 599.8333101788. The cubic root of 359800 is about 71.1246899706.

It can be divided in two parts, 35 and 9800, that multiplied together give a cube (343000 = 70³).

The spelling of 359800 in words is "three hundred fifty-nine thousand, eight hundred".