480020585 has 32 divisors (see below), whose sum is σ = 686859264. Its totient is φ = 317952000.

The previous prime is 480020581. The next prime is 480020587. The reversal of 480020585 is 585020084.

It is not a de Polignac number, because 480020585 - 2² = 480020581 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (480020581) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 20705 + ... + 37265.

It is an arithmetic number, because the mean of its divisors is an integer number (21464352).

Almost surely, 2^480020585 is an apocalyptic number.

It is an amenable number.

480020585 is a deficient number, since it is larger than the sum of its proper divisors (206838679).

480020585 is a wasteful number, since it uses less digits than its factorization.

480020585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16625.

The product of its (nonzero) digits is 12800, while the sum is 32.

The square root of 480020585 is about 21909.3720813719. The cubic root of 480020585 is about 782.9847207891.

The spelling of 480020585 in words is "four hundred eighty million, twenty thousand, five hundred eighty-five".