4940 has 24 divisors (see below), whose sum is σ = 11760.
Its totient is φ = 1728.
The previous prime is 4937. The next prime is 4943. The reversal of 4940 is 494.
4940 = T5 + T6 + ... +
It is an interprime number because it is at equal distance from previous prime (4937) and next prime (4943).
It is a plaindrome in base 9 and base 16.
It is a zygodrome in base 9.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4940.
It is not an unprimeable number, because it can be changed into a prime (4943) 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, 251 + ... + 269.
It is an arithmetic number, because the mean of its divisors is an integer number (490).
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 4940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5880).
4940 is an abundant number, since it is smaller than the sum of its proper divisors (6820).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4940 is a wasteful number, since it uses less digits than its factorization.
4940 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 41 (or 39 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 17.
The square root of 4940 is about 70.2851335632.
The cubic root of 4940 is about 17.0310849941.
The spelling of 4940 in words is "four thousand, nine hundred forty".