461065536 has 84 divisors (see below), whose sum is σ = 1324597300. Its totient is φ = 153335808.

The previous prime is 461065529. The next prime is 461065537. The reversal of 461065536 is 635560164.

461065536 is a `hidden beast` number, since 4 + 61 + 0 + 65 + 536 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49787136 + 411278400 = 7056^2 + 20280^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 461065536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461065537) 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, 407820 + ... + 408948.

Almost surely, 2^461065536 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 461065536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662298650).

461065536 is an abundant number, since it is smaller than the sum of its proper divisors (863531764).

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

461065536 is a wasteful number, since it uses less digits than its factorization.

461065536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856 (or 1843 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 461065536 is about 21472.4366572590. The cubic root of 461065536 is about 772.5398427309.

The spelling of 461065536 in words is "four hundred sixty-one million, sixty-five thousand, five hundred thirty-six".