352090000 has 100 divisors (see below), whose sum is σ = 862008444. Its totient is φ = 139264000.

The previous prime is 352089989. The next prime is 352090051. The reversal of 352090000 is 90253.

It can be written as a sum of positive squares in 10 ways, for example, as 144384256 + 207705744 = 12016^2 + 14412^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a self number, because there is not a number n which added to its sum of digits gives 352090000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1369872 + ... + 1370128.

Almost surely, 2^352090000 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 352090000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431004222).

352090000 is an abundant number, since it is smaller than the sum of its proper divisors (509918444).

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

352090000 is a wasteful number, since it uses less digits than its factorization.

352090000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 352090000 is about 18764.0613940586. The cubic root of 352090000 is about 706.1298383294.

The spelling of 352090000 in words is "three hundred fifty-two million, ninety thousand".