4124000 has 48 divisors (see below), whose sum is σ = 10142496. Its totient is φ = 1648000.

The previous prime is 4123997. The next prime is 4124009. The reversal of 4124000 is 4214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4124009) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3485 + ... + 4515.

It is an arithmetic number, because the mean of its divisors is an integer number (211302).

Almost surely, 2^4124000 is an apocalyptic number.

4124000 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 4124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5071248).

4124000 is an abundant number, since it is smaller than the sum of its proper divisors (6018496).

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

4124000 is a wasteful number, since it uses less digits than its factorization.

4124000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 4124000 is about 2030.7634032550. The cubic root of 4124000 is about 160.3637557177.

Adding to 4124000 its reverse (4214), we get a palindrome (4128214).

The spelling of 4124000 in words is "four million, one hundred twenty-four thousand".