4784864 has 48 divisors (see below), whose sum is σ = 11049696. Its totient is φ = 1996800.

The previous prime is 4784863. The next prime is 4784869. The reversal of 4784864 is 4684874.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4784863) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 8924 + ... + 9444.

It is an arithmetic number, because the mean of its divisors is an integer number (230202).

Almost surely, 2^4784864 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 4784864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5524848).

4784864 is an abundant number, since it is smaller than the sum of its proper divisors (6264832).

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

4784864 is a wasteful number, since it uses less digits than its factorization.

4784864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 571 counting only the distinct ones).

The product of its digits is 172032, while the sum is 41.

The square root of 4784864 is about 2187.4331989800. The cubic root of 4784864 is about 168.5090380733.

The spelling of 4784864 in words is "four million, seven hundred eighty-four thousand, eight hundred sixty-four".