350520 has 64 divisors (see below), whose sum is σ = 1105920. Its totient is φ = 88704.

The previous prime is 350503. The next prime is 350521. The reversal of 350520 is 25053.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 350520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350521) 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, 2697 + ... + 2823.

It is an arithmetic number, because the mean of its divisors is an integer number (17280).

2³⁵⁰⁵²⁰ is an apocalyptic number.

350520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552960).

350520 is an abundant number, since it is smaller than the sum of its proper divisors (755400).

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

350520 is a wasteful number, since it uses less digits than its factorization.

350520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 15.

The square root of 350520 is about 592.0472954081. The cubic root of 350520 is about 70.5078709586.

Adding to 350520 its reverse (25053), we get a palindrome (375573).

The spelling of 350520 in words is "three hundred fifty thousand, five hundred twenty".