485686584 has 128 divisors (see below), whose sum is σ = 1432512000. Its totient is φ = 152140032.

The previous prime is 485686547. The next prime is 485686609.

485686584 is a `hidden beast` number, since 4 + 8 + 56 + 8 + 6 + 584 = 666.

485686584 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 485686584.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 292284 + ... + 293940.

It is an arithmetic number, because the mean of its divisors is an integer number (11191500).

Almost surely, 2^485686584 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 485686584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716256000).

485686584 is an abundant number, since it is smaller than the sum of its proper divisors (946825416).

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

485686584 is a wasteful number, since it uses less digits than its factorization.

485686584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754 (or 1744 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 54.

The square root of 485686584 is about 22038.2981194102. The cubic root of 485686584 is about 786.0533732185.

The spelling of 485686584 in words is "four hundred eighty-five million, six hundred eighty-six thousand, five hundred eighty-four".