982977408 has 192 divisors, whose sum is σ = 3275750400. Its totient is φ = 277115904.

The previous prime is 982977397. The next prime is 982977421. The reversal of 982977408 is 804779289.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 636285 + ... + 637827.

It is an arithmetic number, because the mean of its divisors is an integer number (17061200).

Almost surely, 2^982977408 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 982977408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637875200).

982977408 is an abundant number, since it is smaller than the sum of its proper divisors (2292772992).

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

982977408 is a wasteful number, since it uses less digits than its factorization.

982977408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 982977408 is about 31352.4705246652. The cubic root of 982977408 is about 994.2932981699.

The spelling of 982977408 in words is "nine hundred eighty-two million, nine hundred seventy-seven thousand, four hundred eight".