481755609 has 12 divisors (see below), whose sum is σ = 696911956. Its totient is φ = 320689152.

The previous prime is 481755607. The next prime is 481755611. The reversal of 481755609 is 906557184.

481755609 is a `hidden beast` number, since 4 + 81 + 7 + 5 + 560 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (481755607) and next prime (481755611).

It can be written as a sum of positive squares in 2 ways, for example, as 343175625 + 138579984 = 18525^2 + 11772^2 .

It is not a de Polignac number, because 481755609 - 2¹ = 481755607 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (481755601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33712 + ... + 45825.

Almost surely, 2^481755609 is an apocalyptic number.

It is an amenable number.

481755609 is a deficient number, since it is larger than the sum of its proper divisors (215156347).

481755609 is a wasteful number, since it uses less digits than its factorization.

481755609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80216 (or 80213 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 481755609 is about 21948.9318418915. The cubic root of 481755609 is about 783.9269469147.

The spelling of 481755609 in words is "four hundred eighty-one million, seven hundred fifty-five thousand, six hundred nine".