480585411 has 24 divisors (see below), whose sum is σ = 736008000. Its totient is φ = 301329072.

The previous prime is 480585383. The next prime is 480585431. The reversal of 480585411 is 114585084.

It is not a de Polignac number, because 480585411 - 2⁵ = 480585379 is a prime.

It is not an unprimeable number, because it can be changed into a prime (480585431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13660 + ... + 33878.

It is an arithmetic number, because the mean of its divisors is an integer number (30667000).

Almost surely, 2^480585411 is an apocalyptic number.

480585411 is a deficient number, since it is larger than the sum of its proper divisors (255422589).

480585411 is a wasteful number, since it uses less digits than its factorization.

480585411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20383 (or 20380 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 480585411 is about 21922.2583462562. The cubic root of 480585411 is about 783.2917053881.

The spelling of 480585411 in words is "four hundred eighty million, five hundred eighty-five thousand, four hundred eleven".