465608 has 48 divisors (see below), whose sum is σ = 1061340. Its totient is φ = 190080.

The previous prime is 465587. The next prime is 465611. The reversal of 465608 is 806564.

It can be written as a sum of positive squares in 2 ways, for example, as 465124 + 484 = 682^2 + 22^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12566 + ... + 12602.

2⁴⁶⁵⁶⁰⁸ 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 465608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530670).

465608 is an abundant number, since it is smaller than the sum of its proper divisors (595732).

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

465608 is a wasteful number, since it uses less digits than its factorization.

465608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 465608 is about 682.3547464479. The cubic root of 465608 is about 77.5068603015.

The spelling of 465608 in words is "four hundred sixty-five thousand, six hundred eight".