482513315284 has 288 divisors, whose sum is σ = 1168969439232. Its totient is φ = 171295488000.

The previous prime is 482513315279. The next prime is 482513315287.

482513315284 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (482513315287) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 926128944 + ... + 926129464.

It is an arithmetic number, because the mean of its divisors is an integer number (4058921664).

Almost surely, 2^482513315284 is an apocalyptic number.

482513315284 is a gapful number since it is divisible by the number (44) 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 482513315284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584484719616).

482513315284 is an abundant number, since it is smaller than the sum of its proper divisors (686456123948).

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

482513315284 is a wasteful number, since it uses less digits than its factorization.

482513315284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 918 counting only the distinct ones).

The product of its digits is 921600, while the sum is 46.

It can be divided in two parts, 482513 and 315284, that added together give a palindrome (797797).

The spelling of 482513315284 in words is "four hundred eighty-two billion, five hundred thirteen million, three hundred fifteen thousand, two hundred eighty-four".