468585 has 40 divisors (see below), whose sum is σ = 914760. Its totient is φ = 228096.

The previous prime is 468581. The next prime is 468593. The reversal of 468585 is 585864.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 729 + 467856 = 27^2 + 684^2 .

It is not a de Polignac number, because 468585 - 2² = 468581 is a prime.

It is an Ulam number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (468581) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5221 + ... + 5309.

It is an arithmetic number, because the mean of its divisors is an integer number (22869).

2⁴⁶⁸⁵⁸⁵ is an apocalyptic number.

468585 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

468585 is a deficient number, since it is larger than the sum of its proper divisors (446175).

468585 is a wasteful number, since it uses less digits than its factorization.

468585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 110 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 468585 is about 684.5326873130. The cubic root of 468585 is about 77.6716970305.

The spelling of 468585 in words is "four hundred sixty-eight thousand, five hundred eighty-five".