355940 has 36 divisors (see below), whose sum is σ = 827316. Its totient is φ = 127872.

The previous prime is 355939. The next prime is 355951. The reversal of 355940 is 49553.

It can be written as a sum of positive squares in 6 ways, for example, as 12544 + 343396 = 112^2 + 586^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9602 + ... + 9638.

It is an arithmetic number, because the mean of its divisors is an integer number (22981).

2³⁵⁵⁹⁴⁰ 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 355940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413658).

355940 is an abundant number, since it is smaller than the sum of its proper divisors (471376).

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

355940 is a wasteful number, since it uses less digits than its factorization.

355940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 355940 is about 596.6070733741. The cubic root of 355940 is about 70.8694287390.

The spelling of 355940 in words is "three hundred fifty-five thousand, nine hundred forty".