4002000 has 160 divisors (see below), whose sum is σ = 13927680. Its totient is φ = 985600.

The previous prime is 4001999. The next prime is 4002001. The reversal of 4002000 is 2004.

It is an interprime number because it is at equal distance from previous prime (4001999) and next prime (4002001).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4002000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137986 + ... + 138014.

It is an arithmetic number, because the mean of its divisors is an integer number (87048).

Almost surely, 2^4002000 is an apocalyptic number.

4002000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is a pronic number, being equal to 2000×2001.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6963840).

4002000 is an abundant number, since it is smaller than the sum of its proper divisors (9925680).

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

4002000 is a wasteful number, since it uses less digits than its factorization.

4002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 6.

The square root of 4002000 is about 2000.4999375156. The cubic root of 4002000 is about 158.7665574728.

Adding to 4002000 its reverse (2004), we get a palindrome (4004004).

The spelling of 4002000 in words is "four million, two thousand", and thus it is an eban number.