460836064 has 72 divisors (see below), whose sum is σ = 1002992760. Its totient is φ = 207191040.

The previous prime is 460836011. The next prime is 460836083. The reversal of 460836064 is 460638064.

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 11 ways as a sum of consecutive naturals, for example, 698967 + ... + 699625.

It is an arithmetic number, because the mean of its divisors is an integer number (13930455).

Almost surely, 2^460836064 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 460836064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501496380).

460836064 is an abundant number, since it is smaller than the sum of its proper divisors (542156696).

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

460836064 is a wasteful number, since it uses less digits than its factorization.

460836064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The square root of 460836064 is about 21467.0925837664. The cubic root of 460836064 is about 772.4116572799.

The spelling of 460836064 in words is "four hundred sixty million, eight hundred thirty-six thousand, sixty-four".