4806144 has 120 divisors (see below), whose sum is σ = 15958800. Its totient is φ = 1363968.

The previous prime is 4806127. The next prime is 4806161. The reversal of 4806144 is 4416084.

4806144 is a `hidden beast` number, since 48 + 0 + 614 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (4806127) and next prime (4806161).

It is a super-3 number, since 3×4806144³ (a number of 21 digits) contains 333 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 32182 + ... + 32330.

It is an arithmetic number, because the mean of its divisors is an integer number (132990).

Almost surely, 2^4806144 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 4806144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7979400).

4806144 is an abundant number, since it is smaller than the sum of its proper divisors (11152656).

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

4806144 is a wasteful number, since it uses less digits than its factorization.

4806144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4806144 is about 2192.2919513605. The cubic root of 4806144 is about 168.7584752945.

It can be divided in two parts, 4806 and 144, that added together give a triangular number (4950 = T₉₉).

The spelling of 4806144 in words is "four million, eight hundred six thousand, one hundred forty-four".