982448320 has 112 divisors (see below), whose sum is σ = 2699308800. Its totient is φ = 333609984.

The previous prime is 982448279. The next prime is 982448321. The reversal of 982448320 is 23844289.

982448320 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 (112).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (982448321) 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, 237631 + ... + 241729.

Almost surely, 2^982448320 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 982448320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349654400).

982448320 is an abundant number, since it is smaller than the sum of its proper divisors (1716860480).

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

982448320 is a wasteful number, since it uses less digits than its factorization.

982448320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4230 (or 4220 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 982448320 is about 31344.0316487844. The cubic root of 982448320 is about 994.1148732261.

The spelling of 982448320 in words is "nine hundred eighty-two million, four hundred forty-eight thousand, three hundred twenty".