4793120 has 48 divisors (see below), whose sum is σ = 11725560. Its totient is φ = 1849344.

The previous prime is 4793077. The next prime is 4793123. The reversal of 4793120 is 213974.

It can be written as a sum of positive squares in 4 ways, for example, as 4682896 + 110224 = 2164^2 + 332^2 .

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 4793120.

It is not an unprimeable number, because it can be changed into a prime (4793123) 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, 4124 + ... + 5156.

Almost surely, 2^4793120 is an apocalyptic number.

4793120 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 4793120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5862780).

4793120 is an abundant number, since it is smaller than the sum of its proper divisors (6932440).

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

4793120 is a wasteful number, since it uses less digits than its factorization.

4793120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 4793120 is about 2189.3195289861. The cubic root of 4793120 is about 168.6058998464.

It can be divided in two parts, 4793 and 120, that added together give a cube (4913 = 17³).

The spelling of 4793120 in words is "four million, seven hundred ninety-three thousand, one hundred twenty".