482509836000 has 288 divisors, whose sum is σ = 1713456291456. Its totient is φ = 128592000000.

The previous prime is 482509835963. The next prime is 482509836001. The reversal of 482509836000 is 638905284.

482509836000 is a `hidden beast` number, since 4 + 8 + 2 + 509 + 83 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482509836001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84633150 + ... + 84638850.

It is an arithmetic number, because the mean of its divisors is an integer number (5949501012).

Almost surely, 2^482509836000 is an apocalyptic number.

482509836000 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 482509836000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856728145728).

482509836000 is an abundant number, since it is smaller than the sum of its proper divisors (1230946455456).

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

482509836000 is a wasteful number, since it uses less digits than its factorization.

482509836000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8083 (or 8062 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 482509836000 in words is "four hundred eighty-two billion, five hundred nine million, eight hundred thirty-six thousand".