353225320 has 96 divisors (see below), whose sum is σ = 978988680. Its totient is φ = 113971200.

The previous prime is 353225317. The next prime is 353225339. The reversal of 353225320 is 23522353.

It can be written as a sum of positive squares in 4 ways, for example, as 348270244 + 4955076 = 18662^2 + 2226^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28020 + ... + 38620.

Almost surely, 2^353225320 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 353225320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489494340).

353225320 is an abundant number, since it is smaller than the sum of its proper divisors (625763360).

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

353225320 is a wasteful number, since it uses less digits than its factorization.

353225320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10643 (or 10632 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 25.

The square root of 353225320 is about 18794.2895582674. The cubic root of 353225320 is about 706.8879997729.

Adding to 353225320 its reverse (23522353), we get a palindrome (376747673).

The spelling of 353225320 in words is "three hundred fifty-three million, two hundred twenty-five thousand, three hundred twenty".