482315280020 has 288 divisors, whose sum is σ = 1332225377280. Its totient is φ = 145419079680.

The previous prime is 482315279987. The next prime is 482315280077. The reversal of 482315280020 is 20082513284.

It is a super-2 number, since 2×482315280020² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14961239 + ... + 14993441.

It is an arithmetic number, because the mean of its divisors is an integer number (4625782560).

Almost surely, 2^482315280020 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 482315280020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666112688640).

482315280020 is an abundant number, since it is smaller than the sum of its proper divisors (849910097260).

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

482315280020 is a wasteful number, since it uses less digits than its factorization.

482315280020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32303 (or 32294 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The spelling of 482315280020 in words is "four hundred eighty-two billion, three hundred fifteen million, two hundred eighty thousand, twenty".