460971936 has 144 divisors (see below), whose sum is σ = 1372480200. Its totient is φ = 146571264.

The previous prime is 460971893. The next prime is 460971989. The reversal of 460971936 is 639179064.

460971936 is a `hidden beast` number, since 4 + 609 + 7 + 1 + 9 + 36 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 318408336 + 142563600 = 17844^2 + 11940^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 460971891 and 460971900.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 809860 + ... + 810428.

Almost surely, 2^460971936 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 460971936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686240100).

460971936 is an abundant number, since it is smaller than the sum of its proper divisors (911508264).

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

460971936 is a wasteful number, since it uses less digits than its factorization.

460971936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 460971936 is about 21470.2570082428. The cubic root of 460971936 is about 772.4875619325.

The spelling of 460971936 in words is "four hundred sixty million, nine hundred seventy-one thousand, nine hundred thirty-six".