352808412 has 72 divisors (see below), whose sum is σ = 958155408. Its totient is φ = 100615680.

The previous prime is 352808389. The next prime is 352808419. The reversal of 352808412 is 214808253.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352808419) 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, 17538 + ... + 31830.

It is an arithmetic number, because the mean of its divisors is an integer number (13307714).

Almost surely, 2^352808412 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 352808412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479077704).

352808412 is an abundant number, since it is smaller than the sum of its proper divisors (605346996).

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

352808412 is a wasteful number, since it uses less digits than its factorization.

352808412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14339 (or 14326 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 352808412 is about 18783.1949358995. The cubic root of 352808412 is about 706.6097795471.

It can be divided in two parts, 352808 and 412, that added together give a triangular number (353220 = T₈₄₀).

The spelling of 352808412 in words is "three hundred fifty-two million, eight hundred eight thousand, four hundred twelve".