4904 has 8 divisors (see below), whose sum is σ = 9210. Its totient is φ = 2448.

The previous prime is 4903. The next prime is 4909. The reversal of 4904 is 4094.

4904 = T₇ + T₈ + ... + T₃₀.

It can be written as a sum of positive squares in only one way, i.e., 4900 + 4 = 70^2 + 2^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4904.

It is not an unprimeable number, because it can be changed into a prime (4903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 299 + ... + 314.

2⁴⁹⁰⁴ is an apocalyptic number.

It is an amenable number.

4904 is a deficient number, since it is larger than the sum of its proper divisors (4306).

4904 is a wasteful number, since it uses less digits than its factorization.

4904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 4904 is about 70.0285656000. The cubic root of 4904 is about 16.9896130320.

Adding to 4904 its reverse (4094), we get a palindrome (8998).

It can be divided in two parts, 490 and 4, that added together give a palindrome (494).

The spelling of 4904 in words is "four thousand, nine hundred four".