482049504000 has 432 divisors, whose sum is σ = 1790541252864. Its totient is φ = 124397568000.

The previous prime is 482049503959. The next prime is 482049504011. The reversal of 482049504000 is 405940284.

482049504000 is a `hidden beast` number, since 48 + 204 + 9 + 5 + 0 + 400 + 0 = 666.

It is a super-3 number, since 3×482049504000³ (a number of 36 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 8901004 + ... + 8954996.

Almost surely, 2^482049504000 is an apocalyptic number.

482049504000 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 482049504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895270626432).

482049504000 is an abundant number, since it is smaller than the sum of its proper divisors (1308491748864).

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

482049504000 is a wasteful number, since it uses less digits than its factorization.

482049504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54061 (or 54034 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

It can be divided in two parts, 482049 and 504000, that added together give a square (986049 = 993²).

The spelling of 482049504000 in words is "four hundred eighty-two billion, forty-nine million, five hundred four thousand".