481983417 has 12 divisors (see below), whose sum is σ = 697157604. Its totient is φ = 320879520.

The previous prime is 481983401. The next prime is 481983419. The reversal of 481983417 is 714389184.

It is a happy number.

481983417 is a `hidden beast` number, since 48 + 198 + 3 + 417 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 244484496 + 237498921 = 15636^2 + 15411^2 .

It is not a de Polignac number, because 481983417 - 2⁴ = 481983401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (481983419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29934 + ... + 43127.

It is an arithmetic number, because the mean of its divisors is an integer number (58096467).

Almost surely, 2^481983417 is an apocalyptic number.

It is an amenable number.

481983417 is a deficient number, since it is larger than the sum of its proper divisors (215174187).

481983417 is a wasteful number, since it uses less digits than its factorization.

481983417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73800 (or 73797 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 481983417 is about 21954.1207293756. The cubic root of 481983417 is about 784.0504927436.

It can be divided in two parts, 48198 and 3417, that added together give a palindrome (51615).

The spelling of 481983417 in words is "four hundred eighty-one million, nine hundred eighty-three thousand, four hundred seventeen".