46809 has 12 divisors (see below), whose sum is σ = 77376. Its totient is φ = 26712.

The previous prime is 46807. The next prime is 46811. The reversal of 46809 is 90864.

46809 is nontrivially palindromic in base 8.

It is an interprime number because it is at equal distance from previous prime (46807) and next prime (46811).

It is not a de Polignac number, because 46809 - 2¹ = 46807 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 4³ + 6⁶ + 8 + 0 + 9² .

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 309 + ... + 434.

It is an arithmetic number, because the mean of its divisors is an integer number (6448).

2⁴⁶⁸⁰⁹ is an apocalyptic number.

It is an amenable number.

46809 is a deficient number, since it is larger than the sum of its proper divisors (30567).

46809 is a wasteful number, since it uses less digits than its factorization.

46809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 46809 is about 216.3538767852. The cubic root of 46809 is about 36.0393089143.

The spelling of 46809 in words is "forty-six thousand, eight hundred nine".