4002984 has 48 divisors (see below), whose sum is σ = 11056500. Its totient is φ = 1307904.

The previous prime is 4002983. The next prime is 4002991. The reversal of 4002984 is 4892004.

It can be written as a sum of positive squares in 2 ways, for example, as 3526884 + 476100 = 1878^2 + 690^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4002983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3292 + ... + 4340.

Almost surely, 2^4002984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4002984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5528250).

4002984 is an abundant number, since it is smaller than the sum of its proper divisors (7053516).

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

4002984 is a wasteful number, since it uses less digits than its factorization.

4002984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4002984 is about 2000.7458609229. The cubic root of 4002984 is about 158.7795687580.

Adding to 4002984 its reverse (4892004), we get a palindrome (8894988).

The spelling of 4002984 in words is "four million, two thousand, nine hundred eighty-four".