466928 has 40 divisors (see below), whose sum is σ = 1130880. Its totient is φ = 181440.

The previous prime is 466919. The next prime is 466951. The reversal of 466928 is 829664.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

466928 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1043 + ... + 1421.

It is an arithmetic number, because the mean of its divisors is an integer number (28272).

2⁴⁶⁶⁹²⁸ 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 466928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565440).

466928 is an abundant number, since it is smaller than the sum of its proper divisors (663952).

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

466928 is a wasteful number, since it uses less digits than its factorization.

466928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 399 counting only the distinct ones).

The product of its digits is 20736, while the sum is 35.

The square root of 466928 is about 683.3213007071. The cubic root of 466928 is about 77.5800352508.

The spelling of 466928 in words is "four hundred sixty-six thousand, nine hundred twenty-eight".