466624 has 28 divisors (see below), whose sum is σ = 969264. Its totient is φ = 222464.

The previous prime is 466619. The next prime is 466637. The reversal of 466624 is 426664.

466624 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 466592 and 466601.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1314 + ... + 1630.

2⁴⁶⁶⁶²⁴ 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 466624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484632).

466624 is an abundant number, since it is smaller than the sum of its proper divisors (502640).

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

466624 is a wasteful number, since it uses less digits than its factorization.

466624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 342 counting only the distinct ones).

The product of its digits is 6912, while the sum is 28.

The square root of 466624 is about 683.0988215478. The cubic root of 466624 is about 77.5631950736.

It can be divided in two parts, 46 and 6624, that multiplied together give a square (304704 = 552²).

The spelling of 466624 in words is "four hundred sixty-six thousand, six hundred twenty-four".