460305 has 24 divisors (see below), whose sum is σ = 817128. Its totient is φ = 239616.

The previous prime is 460301. The next prime is 460337. The reversal of 460305 is 503064.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 40401 + 419904 = 201^2 + 648^2 .

It is not a de Polignac number, because 460305 - 2² = 460301 is a prime.

It is not an unprimeable number, because it can be changed into a prime (460301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2289 + ... + 2481.

It is an arithmetic number, because the mean of its divisors is an integer number (34047).

2⁴⁶⁰³⁰⁵ is an apocalyptic number.

460305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

460305 is a deficient number, since it is larger than the sum of its proper divisors (356823).

460305 is a wasteful number, since it uses less digits than its factorization.

460305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 460305 is about 678.4578100369. The cubic root of 460305 is about 77.2114836112.

Adding to 460305 its reverse (503064), we get a palindrome (963369).

The spelling of 460305 in words is "four hundred sixty thousand, three hundred five".