460335648 has 144 divisors (see below), whose sum is σ = 1313444160. Its totient is φ = 141046272.

The previous prime is 460335599. The next prime is 460335661. The reversal of 460335648 is 846533064.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1282093 + ... + 1282451.

It is an arithmetic number, because the mean of its divisors is an integer number (9121140).

Almost surely, 2^460335648 is an apocalyptic number.

460335648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460335648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656722080).

460335648 is an abundant number, since it is smaller than the sum of its proper divisors (853108512).

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

460335648 is a wasteful number, since it uses less digits than its factorization.

460335648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The square root of 460335648 is about 21455.4339970088. The cubic root of 460335648 is about 772.1319720333.

It can be divided in two parts, 46033 and 5648, that added together give a triangular number (51681 = T₃₂₁).

The spelling of 460335648 in words is "four hundred sixty million, three hundred thirty-five thousand, six hundred forty-eight".