467248 has 40 divisors (see below), whose sum is σ = 1004400. Its totient is φ = 209664.

The previous prime is 467239. The next prime is 467261. The reversal of 467248 is 842764.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 8790 + ... + 8842.

It is an arithmetic number, because the mean of its divisors is an integer number (25110).

2⁴⁶⁷²⁴⁸ 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 467248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502200).

467248 is an abundant number, since it is smaller than the sum of its proper divisors (537152).

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

467248 is a wasteful number, since it uses less digits than its factorization.

467248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 103 counting only the distinct ones).

The product of its digits is 10752, while the sum is 31.

The square root of 467248 is about 683.5554110677. Note that the first 3 decimals coincide. The cubic root of 467248 is about 77.5977538585.

The spelling of 467248 in words is "four hundred sixty-seven thousand, two hundred forty-eight".