466128 has 80 divisors (see below), whose sum is σ = 1458240. Its totient is φ = 141696.

The previous prime is 466121. The next prime is 466139. The reversal of 466128 is 821664.

466128 is a `hidden beast` number, since 46 + 612 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466121) by changing a digit.

466128 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 15 ways as a sum of consecutive naturals, for example, 5575 + ... + 5657.

It is an arithmetic number, because the mean of its divisors is an integer number (18228).

2⁴⁶⁶¹²⁸ is an apocalyptic number.

466128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729120).

466128 is an abundant number, since it is smaller than the sum of its proper divisors (992112).

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

466128 is a wasteful number, since it uses less digits than its factorization.

466128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 101 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 466128 is about 682.7356735956. The cubic root of 466128 is about 77.5357032858.

The spelling of 466128 in words is "four hundred sixty-six thousand, one hundred twenty-eight".