460575 has 36 divisors (see below), whose sum is σ = 870480. Its totient is φ = 232320.

The previous prime is 460571. The next prime is 460589. The reversal of 460575 is 575064.

It is not a de Polignac number, because 460575 - 2² = 460571 is a prime.

460575 is a lucky number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460571) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 5131 + ... + 5219.

It is an arithmetic number, because the mean of its divisors is an integer number (24180).

2⁴⁶⁰⁵⁷⁵ is an apocalyptic number.

460575 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

460575 is a deficient number, since it is larger than the sum of its proper divisors (409905).

460575 is a wasteful number, since it uses less digits than its factorization.

460575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 460575 is about 678.6567615518. The cubic root of 460575 is about 77.2265772454.

It can be divided in two parts, 460 and 575, that added together give a triangular number (1035 = T₄₅).

The spelling of 460575 in words is "four hundred sixty thousand, five hundred seventy-five".