352453120 has 120 divisors (see below), whose sum is σ = 882362052. Its totient is φ = 134922240.

The previous prime is 352453111. The next prime is 352453121. The reversal of 352453120 is 21354253.

352453120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 38738176 + 313714944 = 6224^2 + 17712^2 .

It is not an unprimeable number, because it can be changed into a prime (352453121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5777890 + ... + 5777950.

Almost surely, 2^352453120 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 352453120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441181026).

352453120 is an abundant number, since it is smaller than the sum of its proper divisors (529908932).

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

352453120 is an frugal number, since it uses more digits than its factorization.

352453120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 352453120 is about 18773.7348441912. The cubic root of 352453120 is about 706.3725052326.

It can be divided in two parts, 3524 and 53120, that added together give a square (56644 = 238²).

The spelling of 352453120 in words is "three hundred fifty-two million, four hundred fifty-three thousand, one hundred twenty".