4204304 has 80 divisors (see below), whose sum is σ = 9843120. Its totient is φ = 1720320.

The previous prime is 4204283. The next prime is 4204307. The reversal of 4204304 is 4034024.

It can be written as a sum of positive squares in 8 ways, for example, as 409600 + 3794704 = 640^2 + 1948^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4204307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102524 + ... + 102564.

It is an arithmetic number, because the mean of its divisors is an integer number (123039).

Almost surely, 2^4204304 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 4204304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4921560).

4204304 is an abundant number, since it is smaller than the sum of its proper divisors (5638816).

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

4204304 is a wasteful number, since it uses less digits than its factorization.

4204304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 4204304 is about 2050.4399527906. The cubic root of 4204304 is about 161.3979584611.

Adding to 4204304 its reverse (4034024), we get a palindrome (8238328).

It can be divided in two parts, 4 and 204304, that multiplied together give a square (817216 = 904²).

The spelling of 4204304 in words is "four million, two hundred four thousand, three hundred four".