5003904 has 64 divisors (see below), whose sum is σ = 13537440. Its totient is φ = 1637376.

The previous prime is 5003893. The next prime is 5003909. The reversal of 5003904 is 4093005.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (5003909) 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, 31794 + ... + 31950.

Almost surely, 2^5003904 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 5003904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6768720).

5003904 is an abundant number, since it is smaller than the sum of its proper divisors (8533536).

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

5003904 is a wasteful number, since it uses less digits than its factorization.

5003904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 5003904 is about 2236.9407681027. The cubic root of 5003904 is about 171.0420880635.

Adding to 5003904 its reverse (4093005), we get a palindrome (9096909).

The spelling of 5003904 in words is "five million, three thousand, nine hundred four".