465696 has 144 divisors (see below), whose sum is σ = 1723680. Its totient is φ = 120960.

The previous prime is 465679. The next prime is 465701. The reversal of 465696 is 696564.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 465696.

It is an unprimeable number.

465696 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 23 ways as a sum of consecutive naturals, for example, 42331 + ... + 42341.

It is an arithmetic number, because the mean of its divisors is an integer number (11970).

2⁴⁶⁵⁶⁹⁶ 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 465696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861840).

465696 is an abundant number, since it is smaller than the sum of its proper divisors (1257984).

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

465696 is a wasteful number, since it uses less digits than its factorization.

465696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 23 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 465696 is about 682.4192259894. The cubic root of 465696 is about 77.5117429310.

The spelling of 465696 in words is "four hundred sixty-five thousand, six hundred ninety-six".