352405332 has 72 divisors (see below), whose sum is σ = 944110440. Its totient is φ = 110638080.

The previous prime is 352405309. The next prime is 352405337. The reversal of 352405332 is 233504253.

It can be written as a sum of positive squares in 4 ways, for example, as 617796 + 351787536 = 786^2 + 18756^2 .

It is a junction number, because it is equal to n+sod(n) for n = 352405296 and 352405305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352405337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38688 + ... + 46920.

It is an arithmetic number, because the mean of its divisors is an integer number (13112645).

Almost surely, 2^352405332 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 352405332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472055220).

352405332 is an abundant number, since it is smaller than the sum of its proper divisors (591705108).

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

352405332 is a wasteful number, since it uses less digits than its factorization.

352405332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8313 (or 8308 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 352405332 is about 18772.4620654830. The cubic root of 352405332 is about 706.3405788542.

Adding to 352405332 its reverse (233504253), we get a palindrome (585909585).

The spelling of 352405332 in words is "three hundred fifty-two million, four hundred five thousand, three hundred thirty-two".