353408 has 32 divisors (see below), whose sum is σ = 771120. Its totient is φ = 160000.

The previous prime is 353401. The next prime is 353411. The reversal of 353408 is 804353.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (353401) by changing a digit.

353408 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1283 + ... + 1533.

2³⁵³⁴⁰⁸ 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 353408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385560).

353408 is an abundant number, since it is smaller than the sum of its proper divisors (417712).

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

353408 is a wasteful number, since it uses less digits than its factorization.

353408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 353408 is about 594.4812865011. The cubic root of 353408 is about 70.7009840835.

It can be divided in two parts, 35 and 3408, that added together give a palindrome (3443).

The spelling of 353408 in words is "three hundred fifty-three thousand, four hundred eight".