1002988900 has 27 divisors (see below), whose sum is σ = 2177173369. Its totient is φ = 401068880.

The previous prime is 1002988879. The next prime is 1002988939. The reversal of 1002988900 is 98892001.

The square root of 1002988900 is 31670.

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

1002988900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 361076004 + 641912896 = 19002^2 + 25336^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1002988900.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 315117 + ... + 318283.

Almost surely, 2^1002988900 is an apocalyptic number.

1002988900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1002988900 is the 31670-th square number.

It is an amenable number.

1002988900 is an abundant number, since it is smaller than the sum of its proper divisors (1174184469).

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

1002988900 is an frugal number, since it uses more digits than its factorization.

1002988900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6348 (or 3174 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 37.

The cubic root of 1002988900 is about 1000.9953090313.

The spelling of 1002988900 in words is "one billion, two million, nine hundred eighty-eight thousand, nine hundred".