4782240 has 168 divisors, whose sum is σ = 17352468. Its totient is φ = 1244160.

The previous prime is 4782227. The next prime is 4782241. The reversal of 4782240 is 422874.

It can be written as a sum of positive squares in 2 ways, for example, as 4210704 + 571536 = 2052^2 + 756^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 3 and base 9.

It is a zygodrome in base 3 and base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4782241) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 116620 + ... + 116660.

Almost surely, 2^4782240 is an apocalyptic number.

4782240 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 4782240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8676234).

4782240 is an abundant number, since it is smaller than the sum of its proper divisors (12570228).

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

4782240 is an equidigital number, since it uses as much as digits as its factorization.

4782240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 4782240 is about 2186.8333269822. The cubic root of 4782240 is about 168.4782292165.

The spelling of 4782240 in words is "four million, seven hundred eighty-two thousand, two hundred forty".