481313217 has 32 divisors (see below), whose sum is σ = 807229440. Its totient is φ = 247806720.

The previous prime is 481313213. The next prime is 481313219. The reversal of 481313217 is 712313184.

It is not a de Polignac number, because 481313217 - 2² = 481313213 is a prime.

It is not an unprimeable number, because it can be changed into a prime (481313213) 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, 16884 + ... + 35322.

It is an arithmetic number, because the mean of its divisors is an integer number (25225920).

Almost surely, 2^481313217 is an apocalyptic number.

It is an amenable number.

481313217 is a deficient number, since it is larger than the sum of its proper divisors (325916223).

481313217 is a wasteful number, since it uses less digits than its factorization.

481313217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18573.

The product of its digits is 4032, while the sum is 30.

The square root of 481313217 is about 21938.8517703183. The cubic root of 481313217 is about 783.6869156533.

The spelling of 481313217 in words is "four hundred eighty-one million, three hundred thirteen thousand, two hundred seventeen".