465864 has 64 divisors (see below), whose sum is σ = 1382400. Its totient is φ = 128064.

The previous prime is 465841. The next prime is 465887. The reversal of 465864 is 468564.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (465841) and next prime (465887).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 465864.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7867 + ... + 7925.

It is an arithmetic number, because the mean of its divisors is an integer number (21600).

2⁴⁶⁵⁸⁶⁴ 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 465864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691200).

465864 is an abundant number, since it is smaller than the sum of its proper divisors (916536).

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

465864 is a wasteful number, since it uses less digits than its factorization.

465864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 118 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 465864 is about 682.5423063811. The cubic root of 465864 is about 77.5210626068.

The spelling of 465864 in words is "four hundred sixty-five thousand, eight hundred sixty-four".