355020 has 48 divisors (see below), whose sum is σ = 1020768. Its totient is φ = 92160.

The previous prime is 355009. The next prime is 355027. The reversal of 355020 is 20553.

355020 = 74² + 75² + ... + 113².

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

It is a plaindrome in base 16.

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 355020.

It is not an unprimeable number, because it can be changed into a prime (355027) by changing a digit.

355020 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 15 ways as a sum of consecutive naturals, for example, 3612 + ... + 3708.

It is an arithmetic number, because the mean of its divisors is an integer number (21266).

2³⁵⁵⁰²⁰ is an apocalyptic number.

355020 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 355020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510384).

355020 is an abundant number, since it is smaller than the sum of its proper divisors (665748).

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

355020 is a wasteful number, since it uses less digits than its factorization.

355020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 168 counting only the distinct ones).

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

The square root of 355020 is about 595.8355477814. The cubic root of 355020 is about 70.8083171946.

Adding to 355020 its reverse (20553), we get a palindrome (375573).

It can be divided in two parts, 3550 and 20, that added together give a triangular number (3570 = T₈₄).

The spelling of 355020 in words is "three hundred fifty-five thousand, twenty".