4789120 has 64 divisors (see below), whose sum is σ = 13096800. Its totient is φ = 1640448.

The previous prime is 4789091. The next prime is 4789123. The reversal of 4789120 is 219874.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4789123) 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, 3946 + ... + 5014.

Almost surely, 2^4789120 is an apocalyptic number.

4789120 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 4789120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6548400).

4789120 is an abundant number, since it is smaller than the sum of its proper divisors (8307680).

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

4789120 is a wasteful number, since it uses less digits than its factorization.

4789120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 4789120 is about 2188.4058124580. The cubic root of 4789120 is about 168.5589845946.

The spelling of 4789120 in words is "four million, seven hundred eighty-nine thousand, one hundred twenty".