900202464100 has 81 divisors (see below), whose sum is σ = 1980128160171. Its totient is φ = 355226976000.

The previous prime is 900202464067. The next prime is 900202464103. The reversal of 900202464100 is 1464202009.

The square root of 900202464100 is 948790.

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

It can be written as a sum of positive squares in 4 ways, for example, as 540480810276 + 359721653824 = 735174^2 + 599768^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (900202464103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 749543500 + ... + 749544700.

Almost surely, 2^900202464100 is an apocalyptic number.

900202464100 is the 948790-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 900202464100

900202464100 is an abundant number, since it is smaller than the sum of its proper divisors (1079925696071).

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

900202464100 is an equidigital number, since it uses as much as digits as its factorization.

900202464100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 900202464100 its reverse (1464202009), we get a palindrome (901666666109).

The spelling of 900202464100 in words is "nine hundred billion, two hundred two million, four hundred sixty-four thousand, one hundred".