46980 has 60 divisors (see below), whose sum is σ = 152460. Its totient is φ = 12096.

The previous prime is 46957. The next prime is 46993. The reversal of 46980 is 8964.

46980 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 can be written as a sum of positive squares in 2 ways, for example, as 20736 + 26244 = 144^2 + 162^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

46980 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 19 ways as a sum of consecutive naturals, for example, 1606 + ... + 1634.

It is an arithmetic number, because the mean of its divisors is an integer number (2541).

2⁴⁶⁹⁸⁰ 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 46980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76230).

46980 is an abundant number, since it is smaller than the sum of its proper divisors (105480).

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

46980 is a wasteful number, since it uses less digits than its factorization.

46980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 39 counting only the distinct ones).

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

The square root of 46980 is about 216.7487024183. The cubic root of 46980 is about 36.0831411729.

The spelling of 46980 in words is "forty-six thousand, nine hundred eighty".