485253352584 has 2048 divisors, whose sum is σ = 2026708992000. Its totient is φ = 103464345600.

The previous prime is 485253352547. The next prime is 485253352589.

485253352584 is a `hidden beast` number, since 4 + 8 + 5 + 2 + 5 + 3 + 3 + 52 + 584 = 666.

485253352584 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 485253352584.

It is not an unprimeable number, because it can be changed into a prime (485253352589) 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 511 ways as a sum of consecutive naturals, for example, 7242587319 + ... + 7242587385.

It is an arithmetic number, because the mean of its divisors is an integer number (989604000).

Almost surely, 2^485253352584 is an apocalyptic number.

485253352584 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 485253352584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013354496000).

485253352584 is an abundant number, since it is smaller than the sum of its proper divisors (1541455639416).

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

485253352584 is a wasteful number, since it uses less digits than its factorization.

485253352584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 206 counting only the distinct ones).

The product of its digits is 23040000, while the sum is 54.

The spelling of 485253352584 in words is "four hundred eighty-five billion, two hundred fifty-three million, three hundred fifty-two thousand, five hundred eighty-four".