5204000 has 48 divisors (see below), whose sum is σ = 12796056. Its totient is φ = 2080000.

The previous prime is 5203997. The next prime is 5204009. The reversal of 5204000 is 4025.

It can be written as a sum of positive squares in 4 ways, for example, as 204304 + 4999696 = 452^2 + 2236^2 .

It is not an unprimeable number, because it can be changed into a prime (5204009) 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, 3350 + ... + 4650.

Almost surely, 2^5204000 is an apocalyptic number.

5204000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6398028).

5204000 is an abundant number, since it is smaller than the sum of its proper divisors (7592056).

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

5204000 is a wasteful number, since it uses less digits than its factorization.

5204000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 5204000 is about 2281.2277396174. The cubic root of 5204000 is about 173.2922322009.

Adding to 5204000 its reverse (4025), we get a palindrome (5208025).

The spelling of 5204000 in words is "five million, two hundred four thousand".