460345536 has 336 divisors, whose sum is σ = 1622999040. Its totient is φ = 121927680.

The previous prime is 460345531. The next prime is 460345541. The reversal of 460345536 is 635543064.

460345536 is a `hidden beast` number, since 4 + 603 + 45 + 5 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (460345531) and next prime (460345541).

It is a tau number, because it is divible by the number of its divisors (336).

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 460345536.

It is not an unprimeable number, because it can be changed into a prime (460345531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3624705 + ... + 3624831.

Almost surely, 2^460345536 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 460345536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811499520).

460345536 is an abundant number, since it is smaller than the sum of its proper divisors (1162653504).

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

460345536 is a wasteful number, since it uses less digits than its factorization.

460345536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 460345536 is about 21455.6644269060. The cubic root of 460345536 is about 772.1375004532.

The spelling of 460345536 in words is "four hundred sixty million, three hundred forty-five thousand, five hundred thirty-six".