353800 has 48 divisors (see below), whose sum is σ = 864900. Its totient is φ = 134400.

The previous prime is 353797. The next prime is 353807. The reversal of 353800 is 8353.

353800 = 6³ + 7³ + ... + 34³.

It can be written as a sum of positive squares in 6 ways, for example, as 42436 + 311364 = 206^2 + 558^2 .

It is not an unprimeable number, because it can be changed into a prime (353807) 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 11 ways as a sum of consecutive naturals, for example, 5770 + ... + 5830.

2³⁵³⁸⁰⁰ 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 353800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432450).

353800 is an abundant number, since it is smaller than the sum of its proper divisors (511100).

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

353800 is a wasteful number, since it uses less digits than its factorization.

353800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 353800 is about 594.8108943185. The cubic root of 353800 is about 70.7271149247.

The spelling of 353800 in words is "three hundred fifty-three thousand, eight hundred".