4000584 has 32 divisors (see below), whose sum is σ = 11430720. Its totient is φ = 1142976.

The previous prime is 4000573. The next prime is 4000589. The reversal of 4000584 is 4850004.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 4000584.

It is not an unprimeable number, because it can be changed into a prime (4000589) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11739 + ... + 12074.

It is an arithmetic number, because the mean of its divisors is an integer number (357210).

Almost surely, 2^4000584 is an apocalyptic number.

It is an amenable number.

4000584 is an abundant number, since it is smaller than the sum of its proper divisors (7430136).

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

4000584 is a wasteful number, since it uses less digits than its factorization.

4000584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23829 (or 23825 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 4000584 is about 2000.1459946714. The cubic root of 4000584 is about 158.7478301727.

Adding to 4000584 its reverse (4850004), we get a palindrome (8850588).

The spelling of 4000584 in words is "four million, five hundred eighty-four", and thus it is an aban number.