485964469584 has 120 divisors (see below), whose sum is σ = 1487190435744. Its totient is φ = 146911968000.

The previous prime is 485964469583. The next prime is 485964469591.

485964469584 is a `hidden beast` number, since 4 + 8 + 5 + 96 + 446 + 95 + 8 + 4 = 666.

485964469584 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×485964469584² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (485964469583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 302499 + ... + 1031229.

Almost surely, 2^485964469584 is an apocalyptic number.

485964469584 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 485964469584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743595217872).

485964469584 is an abundant number, since it is smaller than the sum of its proper divisors (1001225966160).

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

485964469584 is a wasteful number, since it uses less digits than its factorization.

485964469584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729177 (or 729168 counting only the distinct ones).

The product of its digits is 1194393600, while the sum is 72.

The spelling of 485964469584 in words is "four hundred eighty-five billion, nine hundred sixty-four million, four hundred sixty-nine thousand, five hundred eighty-four".