466496 has 28 divisors (see below), whose sum is σ = 955548. Its totient is φ = 225792.

The previous prime is 466483. The next prime is 466517. The reversal of 466496 is 694664.

It can be written as a sum of positive squares in 2 ways, for example, as 440896 + 25600 = 664^2 + 160^2 .

It is a plaindrome in base 13.

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 466496.

It is an unprimeable number.

466496 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 3 ways as a sum of consecutive naturals, for example, 2270 + ... + 2466.

2⁴⁶⁶⁴⁹⁶ 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 466496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477774).

466496 is an abundant number, since it is smaller than the sum of its proper divisors (489052).

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

466496 is a wasteful number, since it uses less digits than its factorization.

466496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 236 counting only the distinct ones).

The product of its digits is 31104, while the sum is 35.

The square root of 466496 is about 683.0051244317. The cubic root of 466496 is about 77.5561022844.

It can be divided in two parts, 4664 and 96, that multiplied together give a palindrome (447744).

The spelling of 466496 in words is "four hundred sixty-six thousand, four hundred ninety-six".