5201904 has 80 divisors (see below), whose sum is σ = 14418720. Its totient is φ = 1612800.

The previous prime is 5201873. The next prime is 5201909. The reversal of 5201904 is 4091025.

5201904 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5201909) 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, 51454 + ... + 51554.

It is an arithmetic number, because the mean of its divisors is an integer number (180234).

Almost surely, 2^5201904 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 5201904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7209360).

5201904 is an abundant number, since it is smaller than the sum of its proper divisors (9216816).

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

5201904 is a wasteful number, since it uses less digits than its factorization.

5201904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 5201904 is about 2280.7682916070. The cubic root of 5201904 is about 173.2689636066.

Adding to 5201904 its sum of digits (21), we get a triangular number (5201925 = T₃₂₂₅).

Adding to 5201904 its reverse (4091025), we get a palindrome (9292929).

It can be divided in two parts, 5201 and 904, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 5201904 in words is "five million, two hundred one thousand, nine hundred four".