467968 has 22 divisors (see below), whose sum is σ = 937526. Its totient is φ = 233472.

The previous prime is 467963. The next prime is 467977. The reversal of 467968 is 869764.

It can be written as a sum of positive squares in only one way, i.e., 451584 + 16384 = 672^2 + 128^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 467968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467963) by changing a digit.

467968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 796 + ... + 1252.

2⁴⁶⁷⁹⁶⁸ 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 467968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468763).

467968 is an abundant number, since it is smaller than the sum of its proper divisors (469558).

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

467968 is an equidigital number, since it uses as much as digits as its factorization.

467968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 459 counting only the distinct ones).

The product of its digits is 72576, while the sum is 40.

The square root of 467968 is about 684.0818664458. The cubic root of 467968 is about 77.6375911681.

The spelling of 467968 in words is "four hundred sixty-seven thousand, nine hundred sixty-eight".