4785144 has 96 divisors (see below), whose sum is σ = 15034320. Its totient is φ = 1257984.

The previous prime is 4785119. The next prime is 4785161. The reversal of 4785144 is 4415874.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15132 + ... + 15444.

Almost surely, 2^4785144 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 4785144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7517160).

4785144 is an abundant number, since it is smaller than the sum of its proper divisors (10249176).

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

4785144 is a wasteful number, since it uses less digits than its factorization.

4785144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 338 counting only the distinct ones).

The product of its digits is 17920, while the sum is 33.

The square root of 4785144 is about 2187.4971999982. The cubic root of 4785144 is about 168.5123249386.

It can be divided in two parts, 47851 and 44, that added together give a triangular number (47895 = T₃₀₉).

The spelling of 4785144 in words is "four million, seven hundred eighty-five thousand, one hundred forty-four".