1008984900 has 288 divisors, whose sum is σ = 3759759360. Its totient is φ = 202752000.

The previous prime is 1008984881. The next prime is 1008984917. The reversal of 1008984900 is 94898001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 715396 + ... + 716804.

It is an arithmetic number, because the mean of its divisors is an integer number (13054720).

Almost surely, 2^1008984900 is an apocalyptic number.

1008984900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1008984900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1879879680).

1008984900 is an abundant number, since it is smaller than the sum of its proper divisors (2750774460).

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

1008984900 is a wasteful number, since it uses less digits than its factorization.

1008984900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 1008984900 is about 31764.5226628703. The cubic root of 1008984900 is about 1002.9860413488.

The spelling of 1008984900 in words is "one billion, eight million, nine hundred eighty-four thousand, nine hundred".