46806 has 16 divisors (see below), whose sum is σ = 97200. Its totient is φ = 15008.

The previous prime is 46771. The next prime is 46807. The reversal of 46806 is 60864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46807) by changing a digit.

46806 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, 40 + ... + 308.

It is an arithmetic number, because the mean of its divisors is an integer number (6075).

2⁴⁶⁸⁰⁶ is an apocalyptic number.

46806 is the 116-th nonagonal number.

46806 is an abundant number, since it is smaller than the sum of its proper divisors (50394).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48600).

46806 is a wasteful number, since it uses less digits than its factorization.

46806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 46806 is about 216.3469435883. The cubic root of 46806 is about 36.0385389752.

Subtracting from 46806 its product of nonzero digits (1152), we obtain a palindrome (45654).

The spelling of 46806 in words is "forty-six thousand, eight hundred six".