352562920 has 64 divisors (see below), whose sum is σ = 813162240. Its totient is φ = 137529600.

The previous prime is 352562897. The next prime is 352562921. The reversal of 352562920 is 29265253.

It is a happy number.

352562920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×352562920² = 248601225117852800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (352562921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 319089 + ... + 320191.

It is an arithmetic number, because the mean of its divisors is an integer number (12705660).

Almost surely, 2^352562920 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 352562920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406581120).

352562920 is an abundant number, since it is smaller than the sum of its proper divisors (460599320).

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

352562920 is a wasteful number, since it uses less digits than its factorization.

352562920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The square root of 352562920 is about 18776.6589147271. The cubic root of 352562920 is about 706.4458498790.

The spelling of 352562920 in words is "three hundred fifty-two million, five hundred sixty-two thousand, nine hundred twenty".