4024000 has 56 divisors (see below), whose sum is σ = 9985248. Its totient is φ = 1606400.

The previous prime is 4023997. The next prime is 4024001. The reversal of 4024000 is 4204.

4024000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (4024001) 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 7 ways as a sum of consecutive naturals, for example, 7749 + ... + 8251.

It is an arithmetic number, because the mean of its divisors is an integer number (178308).

Almost surely, 2^4024000 is an apocalyptic number.

4024000 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 4024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4992624).

4024000 is an abundant number, since it is smaller than the sum of its proper divisors (5961248).

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

4024000 is an equidigital number, since it uses as much as digits as its factorization.

4024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 4024000 is about 2005.9910268992. The cubic root of 4024000 is about 159.0569525549.

Adding to 4024000 its reverse (4204), we get a palindrome (4028204).

The spelling of 4024000 in words is "four million, twenty-four thousand".