468992 has 24 divisors (see below), whose sum is σ = 941850. Its totient is φ = 233472.

The previous prime is 468983. The next prime is 469009. The reversal of 468992 is 299864.

468992 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 295936 + 173056 = 544^2 + 416^2 .

It is an unprimeable 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, 1934 + ... + 2162.

2⁴⁶⁸⁹⁹² 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 468992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470925).

468992 is an abundant number, since it is smaller than the sum of its proper divisors (472858).

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

468992 is an equidigital number, since it uses as much as digits as its factorization.

468992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 231 counting only the distinct ones).

The product of its digits is 31104, while the sum is 38.

The square root of 468992 is about 684.8299058890. The cubic root of 468992 is about 77.6941783538.

The spelling of 468992 in words is "four hundred sixty-eight thousand, nine hundred ninety-two".