468928 has 28 divisors (see below), whose sum is σ = 987552. Its totient is φ = 220160.

The previous prime is 468913. The next prime is 468953. The reversal of 468928 is 829864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 873 + ... + 1303.

2⁴⁶⁸⁹²⁸ 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 468928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493776).

468928 is an abundant number, since it is smaller than the sum of its proper divisors (518624).

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

468928 is a wasteful number, since it uses less digits than its factorization.

468928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 450 counting only the distinct ones).

The product of its digits is 27648, while the sum is 37.

The square root of 468928 is about 684.7831773635. The cubic root of 468928 is about 77.6906440692.

The spelling of 468928 in words is "four hundred sixty-eight thousand, nine hundred twenty-eight".