460705560 has 64 divisors (see below), whose sum is σ = 1579564800. Its totient is φ = 105303936.

The previous prime is 460705547. The next prime is 460705573. The reversal of 460705560 is 65507064.

It is an interprime number because it is at equal distance from previous prime (460705547) and next prime (460705573).

It is a super-2 number, since 2×460705560² = 424499226029827200, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 273390 + ... + 275069.

It is an arithmetic number, because the mean of its divisors is an integer number (24680700).

Almost surely, 2^460705560 is an apocalyptic number.

460705560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

460705560 is an abundant number, since it is smaller than the sum of its proper divisors (1118859240).

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

460705560 is a wasteful number, since it uses less digits than its factorization.

460705560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548480 (or 548476 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 460705560 is about 21464.0527394059. The cubic root of 460705560 is about 772.3387374025.

The spelling of 460705560 in words is "four hundred sixty million, seven hundred five thousand, five hundred sixty".