355520 has 56 divisors (see below), whose sum is σ = 932688. Its totient is φ = 128000.

The previous prime is 355519. The next prime is 355529. The reversal of 355520 is 25553.

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

It is a junction number, because it is equal to n+sod(n) for n = 355492 and 355501.

It is not an unprimeable number, because it can be changed into a prime (355529) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3470 + ... + 3570.

2³⁵⁵⁵²⁰ 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 355520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466344).

355520 is an abundant number, since it is smaller than the sum of its proper divisors (577168).

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

355520 is a wasteful number, since it uses less digits than its factorization.

355520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 20.

The square root of 355520 is about 596.2549790149. The cubic root of 355520 is about 70.8415430700.

It can be divided in two parts, 35 and 5520, that added together give a palindrome (5555).

The spelling of 355520 in words is "three hundred fifty-five thousand, five hundred twenty".