485383584 has 192 divisors, whose sum is σ = 1517322240. Its totient is φ = 132986880.

The previous prime is 485383573. The next prime is 485383589.

485383584 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (485383589) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2176497 + ... + 2176719.

It is an arithmetic number, because the mean of its divisors is an integer number (7902720).

Almost surely, 2^485383584 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 485383584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758661120).

485383584 is an abundant number, since it is smaller than the sum of its proper divisors (1031938656).

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

485383584 is a wasteful number, since it uses less digits than its factorization.

485383584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 355 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 48.

The square root of 485383584 is about 22031.4226503873. The cubic root of 485383584 is about 785.8898770283.

The spelling of 485383584 in words is "four hundred eighty-five million, three hundred eighty-three thousand, five hundred eighty-four".