466000 has 40 divisors (see below), whose sum is σ = 1131624. Its totient is φ = 185600.

The previous prime is 465989. The next prime is 466009. The reversal of 466000 is 664.

It can be written as a sum of positive squares in 4 ways, for example, as 61504 + 404496 = 248^2 + 636^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 466000.

It is not an unprimeable number, because it can be changed into a prime (466009) by changing a digit.

466000 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, 1884 + ... + 2116.

2⁴⁶⁶⁰⁰⁰ is an apocalyptic number.

466000 is a gapful number since it is divisible by the number (40) 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 466000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565812).

466000 is an abundant number, since it is smaller than the sum of its proper divisors (665624).

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

466000 is a wasteful number, since it uses less digits than its factorization.

466000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 466000 is about 682.6419266350. The cubic root of 466000 is about 77.5286054653.

Adding to 466000 its reverse (664), we get a palindrome (466664).

The spelling of 466000 in words is "four hundred sixty-six thousand".