466956 has 72 divisors (see below), whose sum is σ = 1441440. Its totient is φ = 124416.

The previous prime is 466951. The next prime is 466957. The reversal of 466956 is 659664.

It is a happy number.

It is a super-3 number, since 3×466956³ = 305456333892752448, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 466956.

It is not an unprimeable number, because it can be changed into a prime (466951) by changing a digit.

466956 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 23 ways as a sum of consecutive naturals, for example, 4230 + ... + 4338.

It is an arithmetic number, because the mean of its divisors is an integer number (20020).

2⁴⁶⁶⁹⁵⁶ 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 466956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720720).

466956 is an abundant number, since it is smaller than the sum of its proper divisors (974484).

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

466956 is a wasteful number, since it uses less digits than its factorization.

466956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 138 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 466956 is about 683.3417885656. The cubic root of 466956 is about 77.5815859521.

The spelling of 466956 in words is "four hundred sixty-six thousand, nine hundred fifty-six".