46816 has 48 divisors (see below), whose sum is σ = 120960. Its totient is φ = 17280.

The previous prime is 46811. The next prime is 46817. The reversal of 46816 is 61864.

46816 = T₅₆ + T₅₇ + ... + T₇₆.

46816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 15.

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 (46811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2455 + ... + 2473.

It is an arithmetic number, because the mean of its divisors is an integer number (2520).

2⁴⁶⁸¹⁶ 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 46816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480).

46816 is an abundant number, since it is smaller than the sum of its proper divisors (74144).

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

46816 is a wasteful number, since it uses less digits than its factorization.

46816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 39 counting only the distinct ones).

The product of its digits is 1152, while the sum is 25.

The square root of 46816 is about 216.3700533808. The cubic root of 46816 is about 36.0411053109.

It can be divided in two parts, 468 and 16, that added together give a palindrome (484).

The spelling of 46816 in words is "forty-six thousand, eight hundred sixteen".