481641617 has 8 divisors (see below), whose sum is σ = 497815656. Its totient is φ = 465633792.

The previous prime is 481641607. The next prime is 481641623. The reversal of 481641617 is 716146184.

It can be written as a sum of positive squares in 4 ways, for example, as 61842496 + 419799121 = 7864^2 + 20489^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 481641617 - 2⁸ = 481641361 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (481641607) 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 7 ways as a sum of consecutive naturals, for example, 35648 + ... + 47265.

It is an arithmetic number, because the mean of its divisors is an integer number (62226957).

Almost surely, 2^481641617 is an apocalyptic number.

It is an amenable number.

481641617 is a deficient number, since it is larger than the sum of its proper divisors (16174039).

481641617 is a wasteful number, since it uses less digits than its factorization.

481641617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83107.

The product of its digits is 32256, while the sum is 38.

The square root of 481641617 is about 21946.3349331956. The cubic root of 481641617 is about 783.8651116549.

The spelling of 481641617 in words is "four hundred eighty-one million, six hundred forty-one thousand, six hundred seventeen".