4971904 has 64 divisors (see below), whose sum is σ = 11750400. Its totient is φ = 2050560.

The previous prime is 4971893. The next prime is 4971907. The reversal of 4971904 is 4091794.

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 4971904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4971907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27687 + ... + 27865.

It is an arithmetic number, because the mean of its divisors is an integer number (183600).

Almost surely, 2^4971904 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 4971904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5875200).

4971904 is an abundant number, since it is smaller than the sum of its proper divisors (6778496).

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

4971904 is a wasteful number, since it uses less digits than its factorization.

4971904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 4971904 is about 2229.7766704314. The cubic root of 4971904 is about 170.6767029688.

It can be divided in two parts, 497 and 1904, that added together give a 4-th power (2401 = 7⁴).

The spelling of 4971904 in words is "four million, nine hundred seventy-one thousand, nine hundred four".