47940 has 48 divisors (see below), whose sum is σ = 145152. Its totient is φ = 11776.

The previous prime is 47939. The next prime is 47947. The reversal of 47940 is 4974.

47940 = T₅₉ + T₆₀ + ... + T₇₈.

47940 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 super-3 number, since 3×47940³ = 330533394552000, which contains 333 as substring.

It is a nialpdrome in base 15 and base 16.

It is a zygodrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 47940.

It is not an unprimeable number, because it can be changed into a prime (47947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 997 + ... + 1043.

It is an arithmetic number, because the mean of its divisors is an integer number (3024).

2⁴⁷⁹⁴⁰ 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 47940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72576).

47940 is an abundant number, since it is smaller than the sum of its proper divisors (97212).

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

47940 is a wasteful number, since it uses less digits than its factorization.

47940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 47940 is about 218.9520495451. The cubic root of 47940 is about 36.3272628712.

The spelling of 47940 in words is "forty-seven thousand, nine hundred forty".