460412064 has 144 divisors (see below), whose sum is σ = 1508165568. Its totient is φ = 130507776.

The previous prime is 460412027. The next prime is 460412081. The reversal of 460412064 is 460214064.

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

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 23 ways as a sum of consecutive naturals, for example, 275359 + ... + 277025.

It is an arithmetic number, because the mean of its divisors is an integer number (10473372).

Almost surely, 2^460412064 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 460412064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754082784).

460412064 is an abundant number, since it is smaller than the sum of its proper divisors (1047753504).

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

460412064 is a wasteful number, since it uses less digits than its factorization.

460412064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 460412064 is about 21457.2147307147. The cubic root of 460412064 is about 772.1746944631.

The spelling of 460412064 in words is "four hundred sixty million, four hundred twelve thousand, sixty-four".