480381585 has 32 divisors (see below), whose sum is σ = 780088320. Its totient is φ = 252408000.

The previous prime is 480381547. The next prime is 480381589. The reversal of 480381585 is 585183084.

It is not a de Polignac number, because 480381585 - 2⁸ = 480381329 is a prime.

It is a super-2 number, since 2×480381585² = 461532934414224450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (480381589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295906 + ... + 297524.

It is an arithmetic number, because the mean of its divisors is an integer number (24377760).

Almost surely, 2^480381585 is an apocalyptic number.

It is an amenable number.

480381585 is a deficient number, since it is larger than the sum of its proper divisors (299706735).

480381585 is a wasteful number, since it uses less digits than its factorization.

480381585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909.

The product of its (nonzero) digits is 153600, while the sum is 42.

The square root of 480381585 is about 21917.6090164963. The cubic root of 480381585 is about 783.1809531071.

The spelling of 480381585 in words is "four hundred eighty million, three hundred eighty-one thousand, five hundred eighty-five".