4784000 has 128 divisors (see below), whose sum is σ = 13366080. Its totient is φ = 1689600.

The previous prime is 4783997. The next prime is 4784009. The reversal of 4784000 is 4874.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4784009) by changing a digit.

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, 207989 + ... + 208011.

Almost surely, 2^4784000 is an apocalyptic number.

4784000 is a gapful number since it is divisible by the number (40) 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 4784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6683040).

4784000 is an abundant number, since it is smaller than the sum of its proper divisors (8582080).

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

4784000 is a wasteful number, since it uses less digits than its factorization.

4784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 4784000 is about 2187.2356983188. The cubic root of 4784000 is about 168.4988949377.

Adding to 4784000 its reverse (4874), we get a palindrome (4788874).

The spelling of 4784000 in words is "four million, seven hundred eighty-four thousand".