465315 has 16 divisors (see below), whose sum is σ = 757248. Its totient is φ = 243936.

The previous prime is 465299. The next prime is 465317. The reversal of 465315 is 513564.

It is not a de Polignac number, because 465315 - 2⁴ = 465299 is a prime.

It is not an unprimeable number, because it can be changed into a prime (465317) 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, 774 + ... + 1236.

It is an arithmetic number, because the mean of its divisors is an integer number (47328).

2⁴⁶⁵³¹⁵ is an apocalyptic number.

465315 is a deficient number, since it is larger than the sum of its proper divisors (291933).

465315 is a wasteful number, since it uses less digits than its factorization.

465315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538.

The product of its digits is 1800, while the sum is 24.

The square root of 465315 is about 682.1400149529. The cubic root of 465315 is about 77.4905989290.

Adding to 465315 its reverse (513564), we get a palindrome (978879).

It can be divided in two parts, 465 and 315, that added together give a triangular number (780 = T₃₉).

The spelling of 465315 in words is "four hundred sixty-five thousand, three hundred fifteen".