468009 has 12 divisors (see below), whose sum is σ = 682500. Its totient is φ = 309024.

The previous prime is 468001. The next prime is 468011. The reversal of 468009 is 900864.

It can be written as a sum of positive squares in 2 ways, for example, as 189225 + 278784 = 435^2 + 528^2 .

It is not a de Polignac number, because 468009 - 2³ = 468001 is a prime.

468009 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1167 + ... + 1515.

It is an arithmetic number, because the mean of its divisors is an integer number (56875).

2⁴⁶⁸⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

468009 is a deficient number, since it is larger than the sum of its proper divisors (214491).

468009 is a wasteful number, since it uses less digits than its factorization.

468009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 468009 is about 684.1118329630. Note that the first 3 decimals coincide. The cubic root of 468009 is about 77.6398584516.

The spelling of 468009 in words is "four hundred sixty-eight thousand, nine".