4193980 has 48 divisors (see below), whose sum is σ = 10422720. Its totient is φ = 1387008.

The previous prime is 4193977. The next prime is 4194007. The reversal of 4193980 is 893914.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3544 + ... + 4576.

It is an arithmetic number, because the mean of its divisors is an integer number (217140).

Almost surely, 2^4193980 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 4193980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5211360).

4193980 is an abundant number, since it is smaller than the sum of its proper divisors (6228740).

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

4193980 is a wasteful number, since it uses less digits than its factorization.

4193980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 4193980 is about 2047.9208969098. The cubic root of 4193980 is about 161.2657417078.

The spelling of 4193980 in words is "four million, one hundred ninety-three thousand, nine hundred eighty".