465936 has 40 divisors (see below), whose sum is σ = 1276704. Its totient is φ = 145920.

The previous prime is 465931. The next prime is 465947. The reversal of 465936 is 639564.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 465897 and 465906.

It is not an unprimeable number, because it can be changed into a prime (465931) by changing a digit.

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 in 7 ways as a sum of consecutive naturals, for example, 531 + ... + 1101.

2⁴⁶⁵⁹³⁶ 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 465936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638352).

465936 is an abundant number, since it is smaller than the sum of its proper divisors (810768).

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

465936 is a wasteful number, since it uses less digits than its factorization.

465936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 593 counting only the distinct ones).

The product of its digits is 19440, while the sum is 33.

The square root of 465936 is about 682.5950483266. The cubic root of 465936 is about 77.5250560677.

The spelling of 465936 in words is "four hundred sixty-five thousand, nine hundred thirty-six".