4163880 has 64 divisors (see below), whose sum is σ = 14279040. Its totient is φ = 951552.

The previous prime is 4163879. The next prime is 4163881. The reversal of 4163880 is 883614.

It is a happy number.

4163880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4163879) and next prime (4163881).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4163881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1639 + ... + 3318.

It is an arithmetic number, because the mean of its divisors is an integer number (223110).

Almost surely, 2^4163880 is an apocalyptic number.

4163880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4163880 is an abundant number, since it is smaller than the sum of its proper divisors (10115160).

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

4163880 is a wasteful number, since it uses less digits than its factorization.

4163880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4978 (or 4974 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 4163880 is about 2040.5587470102. The cubic root of 4163880 is about 160.8790161395.

The spelling of 4163880 in words is "four million, one hundred sixty-three thousand, eight hundred eighty".