460664064 has 144 divisors (see below), whose sum is σ = 1557037440. Its totient is φ = 131604480.

The previous prime is 460664059. The next prime is 460664077. The reversal of 460664064 is 460466064.

It is a happy number.

460664064 is a `hidden beast` number, since 4 + 6 + 0 + 6 + 640 + 6 + 4 = 666.

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

It is a super-2 number, since 2×460664064² = 424422759721992192, which contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43624 + ... + 53144.

It is an arithmetic number, because the mean of its divisors is an integer number (10812760).

Almost surely, 2^460664064 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 460664064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778518720).

460664064 is an abundant number, since it is smaller than the sum of its proper divisors (1096373376).

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

460664064 is an equidigital number, since it uses as much as digits as its factorization.

460664064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9553 (or 9533 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 460664064 is about 21463.0860781948. The cubic root of 460664064 is about 772.3155483831.

The spelling of 460664064 in words is "four hundred sixty million, six hundred sixty-four thousand, sixty-four".