482534085600 has 1728 divisors, whose sum is σ = 2137363200000. Its totient is φ = 104613949440.

The previous prime is 482534085589. The next prime is 482534085613. The reversal of 482534085600 is 6580435284.

482534085600 is a `hidden beast` number, since 4 + 8 + 2 + 5 + 34 + 0 + 8 + 5 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2424794301 + ... + 2424794499.

It is an arithmetic number, because the mean of its divisors is an integer number (1236900000).

Almost surely, 2^482534085600 is an apocalyptic number.

482534085600 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 482534085600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068681600000).

482534085600 is an abundant number, since it is smaller than the sum of its proper divisors (1654829114400).

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

482534085600 is a wasteful number, since it uses less digits than its factorization.

482534085600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 482534085600 in words is "four hundred eighty-two billion, five hundred thirty-four million, eighty-five thousand, six hundred".