465248 has 48 divisors (see below), whose sum is σ = 1096704. Its totient is φ = 190080.

The previous prime is 465211. The next prime is 465259. The reversal of 465248 is 842564.

It is a self number, because there is not a number n which added to its sum of digits gives 465248.

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 465248.

It is an unprimeable number.

465248 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 7 ways as a sum of consecutive naturals, for example, 6911 + ... + 6977.

It is an arithmetic number, because the mean of its divisors is an integer number (22848).

2⁴⁶⁵²⁴⁸ 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 465248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548352).

465248 is an abundant number, since it is smaller than the sum of its proper divisors (631456).

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

465248 is a wasteful number, since it uses less digits than its factorization.

465248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 107 counting only the distinct ones).

The product of its digits is 7680, while the sum is 29.

The square root of 465248 is about 682.0909030327. The cubic root of 465248 is about 77.4868794993.

The spelling of 465248 in words is "four hundred sixty-five thousand, two hundred forty-eight".