466576 has 30 divisors (see below), whose sum is σ = 997766. Its totient is φ = 211200.

The previous prime is 466573. The next prime is 466579. The reversal of 466576 is 675664.

466576 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (466573) and next prime (466579).

It can be written as a sum of positive squares in only one way, i.e., 435600 + 30976 = 660^2 + 176^2 .

It is not an unprimeable number, because it can be changed into a prime (466573) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1816 + ... + 2056.

2⁴⁶⁶⁵⁷⁶ 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 466576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498883).

466576 is an abundant number, since it is smaller than the sum of its proper divisors (531190).

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

466576 is a wasteful number, since it uses less digits than its factorization.

466576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 254 counting only the distinct ones).

The product of its digits is 30240, while the sum is 34.

The square root of 466576 is about 683.0636866354. The cubic root of 466576 is about 77.5605354297.

The spelling of 466576 in words is "four hundred sixty-six thousand, five hundred seventy-six".