4764144 has 80 divisors (see below), whose sum is σ = 15356160. Its totient is φ = 1236480.

The previous prime is 4764143. The next prime is 4764181. The reversal of 4764144 is 4414674.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4764143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3052 + ... + 4340.

It is an arithmetic number, because the mean of its divisors is an integer number (191952).

Almost surely, 2^4764144 is an apocalyptic number.

4764144 is a gapful number since it is divisible by the number (44) 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 4764144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7678080).

4764144 is an abundant number, since it is smaller than the sum of its proper divisors (10592016).

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

4764144 is a wasteful number, since it uses less digits than its factorization.

4764144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 1312 counting only the distinct ones).

The product of its digits is 10752, while the sum is 30.

The square root of 4764144 is about 2182.6919159607. The cubic root of 4764144 is about 168.2654533575.

The spelling of 4764144 in words is "four million, seven hundred sixty-four thousand, one hundred forty-four".