355540 has 24 divisors (see below), whose sum is σ = 773640. Its totient is φ = 137088.

The previous prime is 355529. The next prime is 355541. The reversal of 355540 is 45553.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 324 + 355216 = 18^2 + 596^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355541) 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, 274 + ... + 886.

It is an arithmetic number, because the mean of its divisors is an integer number (32235).

2³⁵⁵⁵⁴⁰ 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 355540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386820).

355540 is an abundant number, since it is smaller than the sum of its proper divisors (418100).

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

355540 is a wasteful number, since it uses less digits than its factorization.

355540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 22.

The square root of 355540 is about 596.2717501274. The cubic root of 355540 is about 70.8428714568.

The spelling of 355540 in words is "three hundred fifty-five thousand, five hundred forty".