466536 has 32 divisors (see below), whose sum is σ = 1333440. Its totient is φ = 133248.

The previous prime is 466517. The next prime is 466537. The reversal of 466536 is 635664.

It is a d-powerful number, because it can be written as 4⁴ + 6⁴ + 5³ + 6⁵ + 3¹¹ + 6⁷ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 466536.

It is not an unprimeable number, because it can be changed into a prime (466537) by changing a digit.

466536 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, 1221 + ... + 1556.

It is an arithmetic number, because the mean of its divisors is an integer number (41670).

466536 is a Friedman number, since it can be written as 6*((6^6*5)/3-4), using all its digits and the basic arithmetic operations.

2⁴⁶⁶⁵³⁶ is an apocalyptic number.

It is an amenable number.

466536 is an abundant number, since it is smaller than the sum of its proper divisors (866904).

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

466536 is a wasteful number, since it uses less digits than its factorization.

466536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2793 (or 2789 counting only the distinct ones).

The product of its digits is 12960, while the sum is 30.

The square root of 466536 is about 683.0344061612. The cubic root of 466536 is about 77.5583189204.

The spelling of 466536 in words is "four hundred sixty-six thousand, five hundred thirty-six".