480576117 has 16 divisors (see below), whose sum is σ = 744313472. Its totient is φ = 270112320.

The previous prime is 480576097. The next prime is 480576119. The reversal of 480576117 is 711675084.

It is not a de Polignac number, because 480576117 - 2¹¹ = 480574069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480576119) 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 15 ways as a sum of consecutive naturals, for example, 186298 + ... + 188859.

It is an arithmetic number, because the mean of its divisors is an integer number (46519592).

Almost surely, 2^480576117 is an apocalyptic number.

It is an amenable number.

480576117 is a deficient number, since it is larger than the sum of its proper divisors (263737355).

480576117 is a wasteful number, since it uses less digits than its factorization.

480576117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375228.

The product of its (nonzero) digits is 47040, while the sum is 39.

The square root of 480576117 is about 21922.0463688954. The cubic root of 480576117 is about 783.2866560185.

The spelling of 480576117 in words is "four hundred eighty million, five hundred seventy-six thousand, one hundred seventeen".