465888 has 48 divisors (see below), whose sum is σ = 1282176. Its totient is φ = 147840.

The previous prime is 465887. The next prime is 465893. The reversal of 465888 is 888564.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 465888.

It is not an unprimeable number, because it can be changed into a prime (465887) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2103 + ... + 2313.

It is an arithmetic number, because the mean of its divisors is an integer number (26712).

2⁴⁶⁵⁸⁸⁸ is an apocalyptic number.

465888 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641088).

465888 is an abundant number, since it is smaller than the sum of its proper divisors (816288).

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

465888 is a wasteful number, since it uses less digits than its factorization.

465888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 239 counting only the distinct ones).

The product of its digits is 61440, while the sum is 39.

The square root of 465888 is about 682.5598874824. The cubic root of 465888 is about 77.5223938061.

It can be divided in two parts, 4658 and 88, that multiplied together give a palindrome (409904).

The spelling of 465888 in words is "four hundred sixty-five thousand, eight hundred eighty-eight".