482076873260320 has 288 divisors, whose sum is σ = 1306185100233552. Its totient is φ = 167477536751616.

The previous prime is 482076873260317. The next prime is 482076873260351. The reversal of 482076873260320 is 23062378670284.

It can be written as a sum of positive squares in 24 ways, for example, as 12453473986704 + 469623399273616 = 3528948^2 + 21670796^2 .

It is a super-2 number, since 2×482076873260320² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1568734204 + ... + 1569041476.

Almost surely, 2^{482076873260320} is an apocalyptic number.

482076873260320 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 482076873260320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653092550116776).

482076873260320 is an abundant number, since it is smaller than the sum of its proper divisors (824108226973232).

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

482076873260320 is a wasteful number, since it uses less digits than its factorization.

482076873260320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310744 (or 310723 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 58.

The spelling of 482076873260320 in words is "four hundred eighty-two trillion, seventy-six billion, eight hundred seventy-three million, two hundred sixty thousand, three hundred twenty".