4163980 has 48 divisors (see below), whose sum is σ = 9537696. Its totient is φ = 1520640.

The previous prime is 4163953. The next prime is 4163987. The reversal of 4163980 is 893614.

It is not an unprimeable number, because it can be changed into a prime (4163987) 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, 12415 + ... + 12745.

It is an arithmetic number, because the mean of its divisors is an integer number (198702).

Almost surely, 2^4163980 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 4163980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4768848).

4163980 is an abundant number, since it is smaller than the sum of its proper divisors (5373716).

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

4163980 is a wasteful number, since it uses less digits than its factorization.

4163980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 4163980 is about 2040.5832499558. The cubic root of 4163980 is about 160.8803040226.

The spelling of 4163980 in words is "four million, one hundred sixty-three thousand, nine hundred eighty".