350720 has 40 divisors (see below), whose sum is σ = 847044. Its totient is φ = 139264.

The previous prime is 350719. The next prime is 350729. The reversal of 350720 is 27053.

It can be written as a sum of positive squares in 2 ways, for example, as 350464 + 256 = 592^2 + 16^2 .

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

It is a zygodrome in base 4.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 350720.

It is not an unprimeable number, because it can be changed into a prime (350729) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2492 + ... + 2628.

2³⁵⁰⁷²⁰ 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 350720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423522).

350720 is an abundant number, since it is smaller than the sum of its proper divisors (496324).

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

350720 is an equidigital number, since it uses as much as digits as its factorization.

350720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 17.

The square root of 350720 is about 592.2161767463. The cubic root of 350720 is about 70.5212785559.

Subtracting from 350720 its sum of digits (17), we obtain a triangular number (350703 = T₈₃₇).

Adding to 350720 its reverse (27053), we get a palindrome (377773).

The spelling of 350720 in words is "three hundred fifty thousand, seven hundred twenty".