468138 has 32 divisors (see below), whose sum is σ = 1052352. Its totient is φ = 137600.

The previous prime is 468137. The next prime is 468151. The reversal of 468138 is 831864.

It is a happy number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 468138.

It is not an unprimeable number, because it can be changed into a prime (468133) 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, 2620 + ... + 2792.

It is an arithmetic number, because the mean of its divisors is an integer number (32886).

2⁴⁶⁸¹³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526176).

468138 is an abundant number, since it is smaller than the sum of its proper divisors (584214).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

468138 is a wasteful number, since it uses less digits than its factorization.

468138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230.

The product of its digits is 4608, while the sum is 30.

The square root of 468138 is about 684.2061092975. The cubic root of 468138 is about 77.6469912358.

It can be divided in two parts, 468 and 138, that added together give a palindrome (606).

The spelling of 468138 in words is "four hundred sixty-eight thousand, one hundred thirty-eight".