4813776 has 80 divisors (see below), whose sum is σ = 15088320. Its totient is φ = 1457280.

The previous prime is 4813759. The next prime is 4813793. The reversal of 4813776 is 6773184.

It is an interprime number because it is at equal distance from previous prime (4813759) and next prime (4813793).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4813776.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4246 + ... + 5258.

It is an arithmetic number, because the mean of its divisors is an integer number (188604).

Almost surely, 2^4813776 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 4813776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7544160).

4813776 is an abundant number, since it is smaller than the sum of its proper divisors (10274544).

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

4813776 is a wasteful number, since it uses less digits than its factorization.

4813776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1029 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 4813776 is about 2194.0319049640. The cubic root of 4813776 is about 168.8477557055.

It can be divided in two parts, 48 and 13776, that added together give a cube (13824 = 24³).

The spelling of 4813776 in words is "four million, eight hundred thirteen thousand, seven hundred seventy-six".