480852585 has 32 divisors (see below), whose sum is σ = 858574080. Its totient is φ = 255337344.

The previous prime is 480852583. The next prime is 480852643. The reversal of 480852585 is 585258084.

480852585 is a `hidden beast` number, since 48 + 0 + 8 + 525 + 85 = 666.

It is not a de Polignac number, because 480852585 - 2¹ = 480852583 is a prime.

It is a super-3 number, since 3×480852585³ (a number of 27 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) 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 (45).

It is a self number, because there is not a number n which added to its sum of digits gives 480852585.

It is not an unprimeable number, because it can be changed into a prime (480852583) 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, 23812 + ... + 39098.

It is an arithmetic number, because the mean of its divisors is an integer number (26830440).

Almost surely, 2^480852585 is an apocalyptic number.

480852585 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

480852585 is a deficient number, since it is larger than the sum of its proper divisors (377721495).

480852585 is a wasteful number, since it uses less digits than its factorization.

480852585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15534 (or 15528 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 45.

The square root of 480852585 is about 21928.3511692056. The cubic root of 480852585 is about 783.4368314532.

The spelling of 480852585 in words is "four hundred eighty million, eight hundred fifty-two thousand, five hundred eighty-five".