987009408 has 256 divisors, whose sum is σ = 3632832000. Its totient is φ = 256296960.

The previous prime is 987009391. The next prime is 987009427. The reversal of 987009408 is 804900789.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264258 + ... + 267966.

It is an arithmetic number, because the mean of its divisors is an integer number (14190750).

Almost surely, 2^987009408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 987009408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816416000).

987009408 is an abundant number, since it is smaller than the sum of its proper divisors (2645822592).

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

987009408 is a wasteful number, since it uses less digits than its factorization.

987009408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3750 (or 3732 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 987009408 is about 31416.7058744229. The cubic root of 987009408 is about 995.6509155514.

The spelling of 987009408 in words is "nine hundred eighty-seven million, nine thousand, four hundred eight".