982464000 has 640 divisors, whose sum is σ = 4044598272. Its totient is φ = 206438400.

The previous prime is 982463981. The next prime is 982464023. The reversal of 982464000 is 464289.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×982464000² = 1930471022592000000, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 22847979 + ... + 22848021.

Almost surely, 2^982464000 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 982464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2022299136).

982464000 is an abundant number, since it is smaller than the sum of its proper divisors (3062134272).

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

982464000 is a wasteful number, since it uses less digits than its factorization.

982464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 982464000 is about 31344.2817751500. The cubic root of 982464000 is about 994.1201619312.

The spelling of 982464000 in words is "nine hundred eighty-two million, four hundred sixty-four thousand".