4114920 has 64 divisors (see below), whose sum is σ = 12597120. Its totient is φ = 1074944.

The previous prime is 4114889. The next prime is 4114931. The reversal of 4114920 is 294114.

4114920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6037 + ... + 6683.

It is an arithmetic number, because the mean of its divisors is an integer number (196830).

Almost surely, 2^4114920 is an apocalyptic number.

4114920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4114920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6298560).

4114920 is an abundant number, since it is smaller than the sum of its proper divisors (8482200).

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

4114920 is a wasteful number, since it uses less digits than its factorization.

4114920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 4114920 is about 2028.5265588599. The cubic root of 4114920 is about 160.2459758222.

The spelling of 4114920 in words is "four million, one hundred fourteen thousand, nine hundred twenty".