352455942400 has 243 divisors, whose sum is σ = 899147658549. Its totient is φ = 136783872000.

The previous prime is 352455942373. The next prime is 352455942403. The reversal of 352455942400 is 4249554253.

The square root of 352455942400 is 593680.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 239817842944 + 112638099456 = 489712^2 + 335616^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (352455942403) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1947270310 + ... + 1947270490.

Almost surely, 2^352455942400 is an apocalyptic number.

352455942400 is the 593680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352455942400

352455942400 is an abundant number, since it is smaller than the sum of its proper divisors (546691716149).

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

352455942400 is an frugal number, since it uses more digits than its factorization.

352455942400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 43.

The spelling of 352455942400 in words is "three hundred fifty-two billion, four hundred fifty-five million, nine hundred forty-two thousand, four hundred".