4784472 has 96 divisors (see below), whose sum is σ = 16174080. Its totient is φ = 1241280.

The previous prime is 4784467. The next prime is 4784501. The reversal of 4784472 is 2744874.

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

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 5113 + ... + 5975.

It is an arithmetic number, because the mean of its divisors is an integer number (168480).

Almost surely, 2^4784472 is an apocalyptic number.

4784472 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4784472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8087040).

4784472 is an abundant number, since it is smaller than the sum of its proper divisors (11389608).

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

4784472 is a wasteful number, since it uses less digits than its factorization.

4784472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 886 counting only the distinct ones).

The product of its digits is 50176, while the sum is 36.

The square root of 4784472 is about 2187.3435944085. The cubic root of 4784472 is about 168.5044362464.

It can be divided in two parts, 478 and 4472, that added together give a triangular number (4950 = T₉₉).

The spelling of 4784472 in words is "four million, seven hundred eighty-four thousand, four hundred seventy-two".