352480872200 has 36 divisors (see below), whose sum is σ = 819537549495. Its totient is φ = 140988990400.

The previous prime is 352480872179. The next prime is 352480872221. The reversal of 352480872200 is 2278084253.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (352480872179) and next prime (352480872221).

It can be written as a sum of positive squares in 5 ways, for example, as 3556996 + 352477315204 = 1886^2 + 593698^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=419810.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8375210 + ... + 8417190.

Almost surely, 2^352480872200 is an apocalyptic number.

It is an amenable number.

352480872200 is an abundant number, since it is smaller than the sum of its proper divisors (467056677295).

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

352480872200 is an frugal number, since it uses more digits than its factorization.

352480872200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83978 (or 41988 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 41.

The spelling of 352480872200 in words is "three hundred fifty-two billion, four hundred eighty million, eight hundred seventy-two thousand, two hundred".