4123800 has 144 divisors (see below), whose sum is σ = 14508000. Its totient is φ = 1048320.

The previous prime is 4123799. The next prime is 4123813. The reversal of 4123800 is 83214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 52161 + ... + 52239.

It is an arithmetic number, because the mean of its divisors is an integer number (100750).

Almost surely, 2^4123800 is an apocalyptic number.

4123800 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 4123800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7254000).

4123800 is an abundant number, since it is smaller than the sum of its proper divisors (10384200).

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

4123800 is a wasteful number, since it uses less digits than its factorization.

4123800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4123800 is about 2030.7141600925. The cubic root of 4123800 is about 160.3611633099.

The spelling of 4123800 in words is "four million, one hundred twenty-three thousand, eight hundred".