465664 has 36 divisors (see below), whose sum is σ = 993384. Its totient is φ = 217088.

The previous prime is 465659. The next prime is 465679. The reversal of 465664 is 466564.

It is an unprimeable 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 in 3 ways as a sum of consecutive naturals, for example, 4299 + ... + 4405.

It is an arithmetic number, because the mean of its divisors is an integer number (27594).

2⁴⁶⁵⁶⁶⁴ 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 465664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496692).

465664 is an abundant number, since it is smaller than the sum of its proper divisors (527720).

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

465664 is a wasteful number, since it uses less digits than its factorization.

465664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 126 counting only the distinct ones).

The product of its digits is 17280, while the sum is 31.

The square root of 465664 is about 682.3957795884. The cubic root of 465664 is about 77.5099675005.

Subtracting 465664 from its reverse (466564), we obtain a square (900 = 30²).

The spelling of 465664 in words is "four hundred sixty-five thousand, six hundred sixty-four".