482465120256 has 768 divisors, whose sum is σ = 1721316096000. Its totient is φ = 133028904960.

The previous prime is 482465120251. The next prime is 482465120309. The reversal of 482465120256 is 652021564284.

482465120256 is a `hidden beast` number, since 4 + 82 + 4 + 6 + 512 + 0 + 2 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482465120251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1343913805 + ... + 1343914163.

It is an arithmetic number, because the mean of its divisors is an integer number (2241297000).

Almost surely, 2^482465120256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482465120256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860658048000).

482465120256 is an abundant number, since it is smaller than the sum of its proper divisors (1238850975744).

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

482465120256 is an equidigital number, since it uses as much as digits as its factorization.

482465120256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 402 counting only the distinct ones).

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

The spelling of 482465120256 in words is "four hundred eighty-two billion, four hundred sixty-five million, one hundred twenty thousand, two hundred fifty-six".