485761536 has 400 divisors, whose sum is σ = 1684439064. Its totient is φ = 138018816.

The previous prime is 485761517. The next prime is 485761561. The reversal of 485761536 is 635167584.

485761536 is a `hidden beast` number, since 4 + 8 + 57 + 61 + 536 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 435974400 + 49787136 = 20880^2 + 7056^2 .

It is a junction number, because it is equal to n+sod(n) for n = 485761491 and 485761500.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9165286 + ... + 9165338.

Almost surely, 2^485761536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 485761536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842219532).

485761536 is an abundant number, since it is smaller than the sum of its proper divisors (1198677528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

485761536 is a wasteful number, since it uses less digits than its factorization.

485761536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 88 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 485761536 is about 22039.9985480943. The cubic root of 485761536 is about 786.0938061807.

The spelling of 485761536 in words is "four hundred eighty-five million, seven hundred sixty-one thousand, five hundred thirty-six".