353248 has 48 divisors (see below), whose sum is σ = 846720. Its totient is φ = 141696.

The previous prime is 353237. The next prime is 353263. The reversal of 353248 is 842353.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4215 + ... + 4297.

It is an arithmetic number, because the mean of its divisors is an integer number (17640).

2³⁵³²⁴⁸ is an apocalyptic number.

353248 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423360).

353248 is an abundant number, since it is smaller than the sum of its proper divisors (493472).

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

353248 is a wasteful number, since it uses less digits than its factorization.

353248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 111 counting only the distinct ones).

The product of its digits is 2880, while the sum is 25.

The square root of 353248 is about 594.3467001675. The cubic root of 353248 is about 70.6903128810.

The spelling of 353248 in words is "three hundred fifty-three thousand, two hundred forty-eight".