1008478900 has 144 divisors (see below), whose sum is σ = 2598583680. Its totient is φ = 334886400.

The previous prime is 1008478837. The next prime is 1008478937. The reversal of 1008478900 is 98748001.

It is a self number, because there is not a number n which added to its sum of digits gives 1008478900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1558377 + ... + 1559023.

It is an arithmetic number, because the mean of its divisors is an integer number (18045720).

Almost surely, 2^1008478900 is an apocalyptic number.

1008478900 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 1008478900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299291840).

1008478900 is an abundant number, since it is smaller than the sum of its proper divisors (1590104780).

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

1008478900 is a wasteful number, since it uses less digits than its factorization.

1008478900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 1008478900 is about 31756.5568032808. The cubic root of 1008478900 is about 1002.8183494443.

The spelling of 1008478900 in words is "one billion, eight million, four hundred seventy-eight thousand, nine hundred".