4001000 has 32 divisors (see below), whose sum is σ = 9364680. Its totient is φ = 1600000.

The previous prime is 4000993. The next prime is 4001003. The reversal of 4001000 is 1004.

4001000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 306916 + 3694084 = 554^2 + 1922^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

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

It is not an unprimeable number, because it can be changed into a prime (4001003) 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, 1001 + ... + 3000.

Almost surely, 2^4001000 is an apocalyptic number.

4001000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4001000 is an abundant number, since it is smaller than the sum of its proper divisors (5363680).

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

4001000 is a wasteful number, since it uses less digits than its factorization.

4001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4022 (or 4008 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 4001000 is about 2000.2499843770. The cubic root of 4001000 is about 158.7533324367.

Adding to 4001000 its reverse (1004), we get a palindrome (4002004).

The spelling of 4001000 in words is "four million, one thousand".