4788576 has 72 divisors (see below), whose sum is σ = 14676480. Its totient is φ = 1472256.

The previous prime is 4788569. The next prime is 4788583. The reversal of 4788576 is 6758874.

4788576 is a `hidden beast` number, since 4 + 78 + 8 + 576 = 666.

It is an interprime number because it is at equal distance from previous prime (4788569) and next prime (4788583).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3105 + ... + 4383.

It is an arithmetic number, because the mean of its divisors is an integer number (203840).

Almost surely, 2^4788576 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 4788576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7338240).

4788576 is an abundant number, since it is smaller than the sum of its proper divisors (9887904).

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

4788576 is a wasteful number, since it uses less digits than its factorization.

4788576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1297 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 4788576 is about 2188.2815175384. The cubic root of 4788576 is about 168.5526021026.

It can be divided in two parts, 47885 and 76, that added together give a square (47961 = 219²).

The spelling of 4788576 in words is "four million, seven hundred eighty-eight thousand, five hundred seventy-six".