46992 has 40 divisors (see below), whose sum is σ = 133920. Its totient is φ = 14080.

The previous prime is 46957. The next prime is 46993. The reversal of 46992 is 29964.

46992 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 46992.

It is not an unprimeable number, because it can be changed into a prime (46993) by changing a digit.

46992 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, 484 + ... + 572.

It is an arithmetic number, because the mean of its divisors is an integer number (3348).

2⁴⁶⁹⁹² 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 46992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66960).

46992 is an abundant number, since it is smaller than the sum of its proper divisors (86928).

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

46992 is a wasteful number, since it uses less digits than its factorization.

46992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 105 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

The square root of 46992 is about 216.7763824774. The cubic root of 46992 is about 36.0862131243.

It can be divided in two parts, 469 and 92, that added together give a triangular number (561 = T₃₃).

The spelling of 46992 in words is "forty-six thousand, nine hundred ninety-two".