352353220 has 72 divisors (see below), whose sum is σ = 806278536. Its totient is φ = 128894976.

The previous prime is 352353217. The next prime is 352353227. The reversal of 352353220 is 22353253.

It can be written as a sum of positive squares in 12 ways, for example, as 13719616 + 338633604 = 3704^2 + 18402^2 .

It is not an unprimeable number, because it can be changed into a prime (352353227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 465082 + ... + 465838.

It is an arithmetic number, because the mean of its divisors is an integer number (11198313).

Almost surely, 2^352353220 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 352353220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403139268).

352353220 is an abundant number, since it is smaller than the sum of its proper divisors (453925316).

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

352353220 is a wasteful number, since it uses less digits than its factorization.

352353220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 818 counting only the distinct ones).

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

The square root of 352353220 is about 18771.0740236141. The cubic root of 352353220 is about 706.3057603924.

The spelling of 352353220 in words is "three hundred fifty-two million, three hundred fifty-three thousand, two hundred twenty".