482936256000 has 1120 divisors, whose sum is σ = 1971753147936. Its totient is φ = 116951040000.

The previous prime is 482936255959. The next prime is 482936256017. The reversal of 482936256000 is 652639284.

482936256000 is a `hidden beast` number, since 4 + 8 + 2 + 9 + 36 + 2 + 5 + 600 + 0 = 666.

It is a super-3 number, since 3×482936256000³ (a number of 36 digits) contains 333 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 513215530 + ... + 513216470.

Almost surely, 2^482936256000 is an apocalyptic number.

482936256000 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 482936256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985876573968).

482936256000 is an abundant number, since it is smaller than the sum of its proper divisors (1488816891936).

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

482936256000 is an frugal number, since it uses more digits than its factorization.

482936256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 482936256000 in words is "four hundred eighty-two billion, nine hundred thirty-six million, two hundred fifty-six thousand".