46864 has 20 divisors (see below), whose sum is σ = 94860. Its totient is φ = 22400.

The previous prime is 46861. The next prime is 46867.

46864 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (46861) and next prime (46867).

It can be written as a sum of positive squares in 2 ways, for example, as 36864 + 10000 = 192^2 + 100^2 .

It is a nialpdrome in base 15 and base 16.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 414 + ... + 514.

It is an arithmetic number, because the mean of its divisors is an integer number (4743).

2⁴⁶⁸⁶⁴ 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 46864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47430).

46864 is an abundant number, since it is smaller than the sum of its proper divisors (47996).

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

46864 is a wasteful number, since it uses less digits than its factorization.

46864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 132 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The square root of 46864 is about 216.4809460438. The cubic root of 46864 is about 36.0534186379.

The spelling of 46864 in words is "forty-six thousand, eight hundred sixty-four".