465536 has 16 divisors (see below), whose sum is σ = 927690. Its totient is φ = 232704.

The previous prime is 465529. The next prime is 465541. The reversal of 465536 is 635564.

It can be written as a sum of positive squares in only one way, i.e., 462400 + 3136 = 680^2 + 56^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a junction number, because it is equal to n+sod(n) for n = 465499 and 465508.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 465536.

It is an unprimeable number.

465536 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1691 + ... + 1946.

2⁴⁶⁵⁵³⁶ is an apocalyptic number.

It is an amenable number.

465536 is a deficient number, since it is larger than the sum of its proper divisors (462154).

465536 is an equidigital number, since it uses as much as digits as its factorization.

465536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3651 (or 3639 counting only the distinct ones).

The product of its digits is 10800, while the sum is 29.

The square root of 465536 is about 682.3019859271. The cubic root of 465536 is about 77.5028649652.

It can be divided in two parts, 465 and 536, that added together give a palindrome (1001).

The spelling of 465536 in words is "four hundred sixty-five thousand, five hundred thirty-six".