353440 has 36 divisors (see below), whose sum is σ = 853146. Its totient is φ = 138368.

The previous prime is 353429. The next prime is 353443. The reversal of 353440 is 44353.

It can be written as a sum of positive squares in only one way, i.e., 318096 + 35344 = 564^2 + 188^2 .

It is not an unprimeable number, because it can be changed into a prime (353443) 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 5 ways as a sum of consecutive naturals, for example, 7497 + ... + 7543.

2³⁵³⁴⁴⁰ 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 353440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426573).

353440 is an abundant number, since it is smaller than the sum of its proper divisors (499706).

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

353440 is an equidigital number, since it uses as much as digits as its factorization.

353440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 353440 is about 594.5082001117. The cubic root of 353440 is about 70.7031179375.

Adding to 353440 its reverse (44353), we get a palindrome (397793).

The spelling of 353440 in words is "three hundred fifty-three thousand, four hundred forty".