4749120 has 168 divisors, whose sum is σ = 17474184. Its totient is φ = 1179648.

The previous prime is 4749097. The next prime is 4749131. The reversal of 4749120 is 219474.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 876096 + 3873024 = 936^2 + 1968^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48912 + ... + 49008.

It is an arithmetic number, because the mean of its divisors is an integer number (104013).

Almost surely, 2^4749120 is an apocalyptic number.

4749120 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 4749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8737092).

4749120 is an abundant number, since it is smaller than the sum of its proper divisors (12725064).

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

4749120 is a wasteful number, since it uses less digits than its factorization.

4749120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 4749120 is about 2179.2475765732. The cubic root of 4749120 is about 168.0883888625.

The spelling of 4749120 in words is "four million, seven hundred forty-nine thousand, one hundred twenty".