482522832000 has 1920 divisors, whose sum is σ = 2097228173040. Its totient is φ = 109486080000.

The previous prime is 482522831993. The next prime is 482522832031. The reversal of 482522832000 is 238225284.

It can be written as a sum of positive squares in 8 ways, for example, as 75898944 + 482446933056 = 8712^2 + 694584^2 .

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2665871910 + ... + 2665872090.

Almost surely, 2^482522832000 is an apocalyptic number.

482522832000 is a gapful number since it is divisible by the number (40) 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 482522832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048614086520).

482522832000 is an abundant number, since it is smaller than the sum of its proper divisors (1614705341040).

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

482522832000 is a wasteful number, since it uses less digits than its factorization.

482522832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 482522832000 in words is "four hundred eighty-two billion, five hundred twenty-two million, eight hundred thirty-two thousand".