485299584 has 192 divisors, whose sum is σ = 1741409280. Its totient is φ = 126028800.

The previous prime is 485299571. The next prime is 485299597. The reversal of 485299584 is 485992584.

It is a happy number.

485299584 is a `hidden beast` number, since 4 + 8 + 52 + 9 + 9 + 584 = 666.

It is an interprime number because it is at equal distance from previous prime (485299571) and next prime (485299597).

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 485299584.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 85969 + ... + 91439.

It is an arithmetic number, because the mean of its divisors is an integer number (9069840).

Almost surely, 2^485299584 is an apocalyptic number.

485299584 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 485299584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870704640).

485299584 is an abundant number, since it is smaller than the sum of its proper divisors (1256109696).

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

485299584 is a wasteful number, since it uses less digits than its factorization.

485299584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5509 (or 5494 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The square root of 485299584 is about 22029.5161998624. The cubic root of 485299584 is about 785.8445393062.

The spelling of 485299584 in words is "four hundred eighty-five million, two hundred ninety-nine thousand, five hundred eighty-four".