982406880 has 960 divisors, whose sum is σ = 4610390400. Its totient is φ = 195084288.

The previous prime is 982406879. The next prime is 982406903. The reversal of 982406880 is 88604289.

It is a happy number.

982406880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 57788632 + ... + 57788648.

It is an arithmetic number, because the mean of its divisors is an integer number (4802490).

Almost surely, 2^982406880 is an apocalyptic number.

982406880 is a gapful number since it is divisible by the number (90) 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 982406880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305195200).

982406880 is an abundant number, since it is smaller than the sum of its proper divisors (3627983520).

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

982406880 is a wasteful number, since it uses less digits than its factorization.

982406880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 982406880 is about 31343.3705909240. The cubic root of 982406880 is about 994.1008956632.

The spelling of 982406880 in words is "nine hundred eighty-two million, four hundred six thousand, eight hundred eighty".