485973379584 has 480 divisors, whose sum is σ = 1756565965440. Its totient is φ = 125654630400.

The previous prime is 485973379523. The next prime is 485973379589.

485973379584 is a `hidden beast` number, since 4 + 8 + 5 + 9 + 7 + 3 + 37 + 9 + 584 = 666.

485973379584 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (485973379589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81249874 + ... + 81255854.

It is an arithmetic number, because the mean of its divisors is an integer number (3659512428).

Almost surely, 2^485973379584 is an apocalyptic number.

485973379584 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 485973379584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878282982720).

485973379584 is an abundant number, since it is smaller than the sum of its proper divisors (1270592585856).

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

485973379584 is a wasteful number, since it uses less digits than its factorization.

485973379584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6252 (or 6233 counting only the distinct ones).

The product of its digits is 914457600, while the sum is 72.

The spelling of 485973379584 in words is "four hundred eighty-five billion, nine hundred seventy-three million, three hundred seventy-nine thousand, five hundred eighty-four".