4200704 has 36 divisors (see below), whose sum is σ = 8554140. Its totient is φ = 2058240.

The previous prime is 4200701. The next prime is 4200709. The reversal of 4200704 is 4070024.

4200704 = 51² + 52² + ... + 233².

It can be written as a sum of positive squares in 2 ways, for example, as 200704 + 4000000 = 448^2 + 2000^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4200701) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15482 + ... + 15750.

It is an arithmetic number, because the mean of its divisors is an integer number (237615).

Almost surely, 2^4200704 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 4200704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4277070).

4200704 is an abundant number, since it is smaller than the sum of its proper divisors (4353436).

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

4200704 is an equidigital number, since it uses as much as digits as its factorization.

4200704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 4200704 is about 2049.5619044079. The cubic root of 4200704 is about 161.3518788113.

Adding to 4200704 its reverse (4070024), we get a palindrome (8270728).

It can be divided in two parts, 4 and 200704, that multiplied together give a square (802816 = 896²).

The spelling of 4200704 in words is "four million, two hundred thousand, seven hundred four".