355840 has 40 divisors (see below), whose sum is σ = 859320. Its totient is φ = 141312.

The previous prime is 355819. The next prime is 355841. The reversal of 355840 is 48553.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2491 + ... + 2629.

It is an arithmetic number, because the mean of its divisors is an integer number (21483).

2³⁵⁵⁸⁴⁰ 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 355840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429660).

355840 is an abundant number, since it is smaller than the sum of its proper divisors (503480).

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

355840 is an equidigital number, since it uses as much as digits as its factorization.

355840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 355840 is about 596.5232602338. The cubic root of 355840 is about 70.8627912845.

The spelling of 355840 in words is "three hundred fifty-five thousand, eight hundred forty".