4775904 has 144 divisors (see below), whose sum is σ = 16353792. Its totient is φ = 1292544.

The previous prime is 4775887. The next prime is 4775909. The reversal of 4775904 is 4095774.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4775909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46317 + ... + 46419.

It is an arithmetic number, because the mean of its divisors is an integer number (113568).

Almost surely, 2^4775904 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 4775904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8176896).

4775904 is an abundant number, since it is smaller than the sum of its proper divisors (11577888).

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

4775904 is a wasteful number, since it uses less digits than its factorization.

4775904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 4775904 is about 2185.3841767525. The cubic root of 4775904 is about 168.4037906102.

Adding to 4775904 its product of nonzero digits (35280), we get a palindrome (4811184).

The spelling of 4775904 in words is "four million, seven hundred seventy-five thousand, nine hundred four".