8962408900 has 27 divisors (see below), whose sum is σ = 19450481869. Its totient is φ = 3584584880.

The previous prime is 8962408883. The next prime is 8962408909. The reversal of 8962408900 is 98042698.

The square root of 8962408900 is 94670.

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

It can be written as a sum of positive squares in only one way, i.e., 3226467204 + 5735941696 = 56802^2 + 75736^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8962408909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 941967 + ... + 951433.

Almost surely, 2^8962408900 is an apocalyptic number.

8962408900 is the 94670-th square number.

It is an amenable number.

8962408900 is an abundant number, since it is smaller than the sum of its proper divisors (10488072969).

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

8962408900 is an frugal number, since it uses more digits than its factorization.

8962408900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18948 (or 9474 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The cubic root of 8962408900 is about 2077.1837579765.

The spelling of 8962408900 in words is "eight billion, nine hundred sixty-two million, four hundred eight thousand, nine hundred".