982359456 has 96 divisors (see below), whose sum is σ = 2872920960. Its totient is φ = 291830784.

The previous prime is 982359419. The next prime is 982359457. The reversal of 982359456 is 654953289.

982359456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 982359399 and 982359408.

It is not an unprimeable number, because it can be changed into a prime (982359457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22621 + ... + 49763.

It is an arithmetic number, because the mean of its divisors is an integer number (29926260).

Almost surely, 2^982359456 is an apocalyptic number.

982359456 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

982359456 is the 18096-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 982359456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436460480).

982359456 is an abundant number, since it is smaller than the sum of its proper divisors (1890561504).

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

982359456 is a wasteful number, since it uses less digits than its factorization.

982359456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27198 (or 27190 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 51.

The square root of 982359456 is about 31342.6140581796. The cubic root of 982359456 is about 994.0848992363.

The spelling of 982359456 in words is "nine hundred eighty-two million, three hundred fifty-nine thousand, four hundred fifty-six".