4827144 has 64 divisors (see below), whose sum is σ = 14054400. Its totient is φ = 1353024.

The previous prime is 4827139. The next prime is 4827157. The reversal of 4827144 is 4417284.

4827144 = T₂₂₅ + T₂₂₆ + ... + T₃₄₂.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9669 + ... + 10155.

It is an arithmetic number, because the mean of its divisors is an integer number (219600).

Almost surely, 2^4827144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4827144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7027200).

4827144 is an abundant number, since it is smaller than the sum of its proper divisors (9227256).

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

4827144 is a wasteful number, since it uses less digits than its factorization.

4827144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 558 counting only the distinct ones).

The product of its digits is 7168, while the sum is 30.

The square root of 4827144 is about 2197.0762390049. The cubic root of 4827144 is about 169.0039096699.

It can be divided in two parts, 482 and 7144, that added together give a triangular number (7626 = T₁₂₃).

The spelling of 4827144 in words is "four million, eight hundred twenty-seven thousand, one hundred forty-four".