350480 has 40 divisors (see below), whose sum is σ = 880152. Its totient is φ = 129024.

The previous prime is 350459. The next prime is 350503. The reversal of 350480 is 84053.

It can be written as a sum of positive squares in 4 ways, for example, as 16 + 350464 = 4^2 + 592^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 350480.

It is an unprimeable number.

350480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 872 + ... + 1208.

2³⁵⁰⁴⁸⁰ 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 350480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440076).

350480 is an abundant number, since it is smaller than the sum of its proper divisors (529672).

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

350480 is a wasteful number, since it uses less digits than its factorization.

350480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 350480 is about 592.0135133593. The cubic root of 350480 is about 70.5051888272.

The spelling of 350480 in words is "three hundred fifty thousand, four hundred eighty".