465312 has 48 divisors (see below), whose sum is σ = 1264032. Its totient is φ = 149760.

The previous prime is 465299. The next prime is 465317. The reversal of 465312 is 213564.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (465317) by changing a digit.

465312 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3487 + ... + 3617.

It is an arithmetic number, because the mean of its divisors is an integer number (26334).

2⁴⁶⁵³¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632016).

465312 is an abundant number, since it is smaller than the sum of its proper divisors (798720).

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

465312 is a wasteful number, since it uses less digits than its factorization.

465312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 173 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 465312 is about 682.1378159874. The cubic root of 465312 is about 77.4904323950.

Adding to 465312 its reverse (213564), we get a palindrome (678876).

It can be divided in two parts, 465 and 312, that added together give a palindrome (777).

The spelling of 465312 in words is "four hundred sixty-five thousand, three hundred twelve".