4783360 has 72 divisors (see below), whose sum is σ = 11883816. Its totient is φ = 1843200.

The previous prime is 4783349. The next prime is 4783369. The reversal of 4783360 is 633874.

It can be written as a sum of positive squares in 4 ways, for example, as 2663424 + 2119936 = 1632^2 + 1456^2 .

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4783369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47310 + ... + 47410.

It is an arithmetic number, because the mean of its divisors is an integer number (165053).

Almost surely, 2^4783360 is an apocalyptic number.

4783360 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 4783360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5941908).

4783360 is an abundant number, since it is smaller than the sum of its proper divisors (7100456).

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

4783360 is a wasteful number, since it uses less digits than its factorization.

4783360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 4783360 is about 2187.0893900342. The cubic root of 4783360 is about 168.4913807165.

The spelling of 4783360 in words is "four million, seven hundred eighty-three thousand, three hundred sixty".