355320 has 128 divisors (see below), whose sum is σ = 1382400. Its totient is φ = 79488.

The previous prime is 355307. The next prime is 355321. The reversal of 355320 is 23553.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 355293 and 355302.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 355320.

It is not an unprimeable number, because it can be changed into a prime (355321) by changing a digit.

355320 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 31 ways as a sum of consecutive naturals, for example, 7537 + ... + 7583.

It is an arithmetic number, because the mean of its divisors is an integer number (10800).

2³⁵⁵³²⁰ is an apocalyptic number.

355320 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 355320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691200).

355320 is an abundant number, since it is smaller than the sum of its proper divisors (1027080).

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

355320 is a wasteful number, since it uses less digits than its factorization.

355320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 355320 is about 596.0872419370. The cubic root of 355320 is about 70.8282564604.

Adding to 355320 its reverse (23553), we get a palindrome (378873).

The spelling of 355320 in words is "three hundred fifty-five thousand, three hundred twenty".