4204004 has 36 divisors (see below), whose sum is σ = 8690220. Its totient is φ = 1774080.

The previous prime is 4204001. The next prime is 4204007. The reversal of 4204004 is 4004024.

It is an interprime number because it is at equal distance from previous prime (4204001) and next prime (4204007).

It can be written as a sum of positive squares in 2 ways, for example, as 1960000 + 2244004 = 1400^2 + 1498^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a self number, because there is not a number n which added to its sum of digits gives 4204004.

It is not an unprimeable number, because it can be changed into a prime (4204001) 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, 17324 + ... + 17564.

It is an arithmetic number, because the mean of its divisors is an integer number (241395).

Almost surely, 2^4204004 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 4204004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4345110).

4204004 is an abundant number, since it is smaller than the sum of its proper divisors (4486216).

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

4204004 is a wasteful number, since it uses less digits than its factorization.

4204004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 4204004 is about 2050.3667964537. The cubic root of 4204004 is about 161.3941194952.

Adding to 4204004 its reverse (4004024), we get a palindrome (8208028).

The spelling of 4204004 in words is "four million, two hundred four thousand, four".