4076000 has 48 divisors (see below), whose sum is σ = 10024560. Its totient is φ = 1628800.

The previous prime is 4075993. The next prime is 4076003. The reversal of 4076000 is 6704.

4076000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4076000² = 33227552000000, which contains 22 as substring.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 4076000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4076003) 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, 3491 + ... + 4509.

It is an arithmetic number, because the mean of its divisors is an integer number (208845).

Almost surely, 2^4076000 is an apocalyptic number.

4076000 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 4076000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5012280).

4076000 is an abundant number, since it is smaller than the sum of its proper divisors (5948560).

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

4076000 is a wasteful number, since it uses less digits than its factorization.

4076000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 4076000 is about 2018.9105973272. The cubic root of 4076000 is about 159.7391583245.

The spelling of 4076000 in words is "four million, seventy-six thousand".