460808064 has 192 divisors, whose sum is σ = 1436058000. Its totient is φ = 141336576.

The previous prime is 460808053. The next prime is 460808093.

460808064 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 809572 + ... + 810140.

Almost surely, 2^460808064 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 460808064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718029000).

460808064 is an abundant number, since it is smaller than the sum of its proper divisors (975249936).

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

460808064 is a wasteful number, since it uses less digits than its factorization.

460808064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 460808064 is about 21466.4404128863. The cubic root of 460808064 is about 772.3960132753.

The spelling of 460808064 in words is "four hundred sixty million, eight hundred eight thousand, sixty-four".