350980 has 48 divisors (see below), whose sum is σ = 887040. Its totient is φ = 114048.

The previous prime is 350971. The next prime is 350981. The reversal of 350980 is 89053.

350980 = 50² + 51² + ... + 105².

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (350981) 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, 3166 + ... + 3274.

It is an arithmetic number, because the mean of its divisors is an integer number (18480).

2³⁵⁰⁹⁸⁰ 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 350980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443520).

350980 is an abundant number, since it is smaller than the sum of its proper divisors (536060).

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

350980 is a wasteful number, since it uses less digits than its factorization.

350980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 146 counting only the distinct ones).

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

The square root of 350980 is about 592.4356505140. The cubic root of 350980 is about 70.5387008143.

It can be divided in two parts, 350 and 980, that multiplied together give a cube (343000 = 70³).

The spelling of 350980 in words is "three hundred fifty thousand, nine hundred eighty".