482681414880 has 1152 divisors, whose sum is σ = 2067898896000. Its totient is φ = 104695234560.

The previous prime is 482681414837. The next prime is 482681414893. The reversal of 482681414880 is 88414186284.

482681414880 is a `hidden beast` number, since 4 + 82 + 6 + 81 + 4 + 1 + 488 + 0 = 666.

It is a super-3 number, since 3×482681414880³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 374461276 + ... + 374462564.

It is an arithmetic number, because the mean of its divisors is an integer number (1795051125).

Almost surely, 2^482681414880 is an apocalyptic number.

482681414880 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 482681414880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033949448000).

482681414880 is an abundant number, since it is smaller than the sum of its proper divisors (1585217481120).

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

482681414880 is a wasteful number, since it uses less digits than its factorization.

482681414880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 3145728, while the sum is 54.

The spelling of 482681414880 in words is "four hundred eighty-two billion, six hundred eighty-one million, four hundred fourteen thousand, eight hundred eighty".