467296 has 24 divisors (see below), whose sum is σ = 975240. Its totient is φ = 219648.

The previous prime is 467293. The next prime is 467297. The reversal of 467296 is 692764.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467293) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 115 + ... + 973.

It is an arithmetic number, because the mean of its divisors is an integer number (40635).

2⁴⁶⁷²⁹⁶ 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 467296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487620).

467296 is an abundant number, since it is smaller than the sum of its proper divisors (507944).

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

467296 is a wasteful number, since it uses less digits than its factorization.

467296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 878 counting only the distinct ones).

The product of its digits is 18144, while the sum is 34.

The square root of 467296 is about 683.5905207067. The cubic root of 467296 is about 77.6004109519.

The spelling of 467296 in words is "four hundred sixty-seven thousand, two hundred ninety-six".