460705632 has 48 divisors (see below), whose sum is σ = 1248371712. Its totient is φ = 148613760.

The previous prime is 460705621. The next prime is 460705649. The reversal of 460705632 is 236507064.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 460705593 and 460705602.

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 7 ways as a sum of consecutive naturals, for example, 74428 + ... + 80379.

It is an arithmetic number, because the mean of its divisors is an integer number (26007744).

Almost surely, 2^460705632 is an apocalyptic number.

It is an amenable number.

460705632 is an abundant number, since it is smaller than the sum of its proper divisors (787666080).

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

460705632 is a wasteful number, since it uses less digits than its factorization.

460705632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154851 (or 154843 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 460705632 is about 21464.0544166287. The cubic root of 460705632 is about 772.3387776367.

The spelling of 460705632 in words is "four hundred sixty million, seven hundred five thousand, six hundred thirty-two".