4782160 has 60 divisors (see below), whose sum is σ = 11725812. Its totient is φ = 1813504.

The previous prime is 4782143. The next prime is 4782161. The reversal of 4782160 is 612874.

It can be written as a sum of positive squares in 2 ways, for example, as 685584 + 4096576 = 828^2 + 2024^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4782161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42264 + ... + 42376.

Almost surely, 2^4782160 is an apocalyptic number.

4782160 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 4782160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5862906).

4782160 is an abundant number, since it is smaller than the sum of its proper divisors (6943652).

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

4782160 is a wasteful number, since it uses less digits than its factorization.

4782160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 4782160 is about 2186.8150356169. The cubic root of 4782160 is about 168.4772897451.

The spelling of 4782160 in words is "four million, seven hundred eighty-two thousand, one hundred sixty".