485761601 has 12 divisors (see below), whose sum is σ = 526835772. Its totient is φ = 447685056.

The previous prime is 485761597. The next prime is 485761631. The reversal of 485761601 is 106167584.

It is a Cunningham number, because it is equal to 22040²+1.

It can be written as a sum of positive squares in 6 ways, for example, as 185640625 + 300120976 = 13625^2 + 17324^2 .

It is not a de Polignac number, because 485761601 - 2² = 485761597 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (485761631) 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, 126035 + ... + 129831.

It is an arithmetic number, because the mean of its divisors is an integer number (43902981).

Almost surely, 2^485761601 is an apocalyptic number.

It is an amenable number.

485761601 is a deficient number, since it is larger than the sum of its proper divisors (41074171).

485761601 is a wasteful number, since it uses less digits than its factorization.

485761601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4580 (or 4567 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 485761601 is about 22040.0000226860. Note that the first 4 decimals coincide. The cubic root of 485761601 is about 786.0938412433.

The spelling of 485761601 in words is "four hundred eighty-five million, seven hundred sixty-one thousand, six hundred one".