468105 has 16 divisors (see below), whose sum is σ = 817344. Its totient is φ = 226880.

The previous prime is 468079. The next prime is 468107. The reversal of 468105 is 501864.

468105 = T₁₀₂ + T₁₀₃ + ... + T₁₅₆.

It is not a de Polignac number, because 468105 - 2⁷ = 467977 is a prime.

468105 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (468107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1254 + ... + 1583.

It is an arithmetic number, because the mean of its divisors is an integer number (51084).

2⁴⁶⁸¹⁰⁵ is an apocalyptic number.

It is an amenable number.

468105 is a deficient number, since it is larger than the sum of its proper divisors (349239).

468105 is a wasteful number, since it uses less digits than its factorization.

468105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2856.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 468105 is about 684.1819933322. The cubic root of 468105 is about 77.6451666948.

Adding to 468105 its reverse (501864), we get a palindrome (969969).

The spelling of 468105 in words is "four hundred sixty-eight thousand, one hundred five".