4744438272 has 400 divisors, whose sum is σ = 16517603520. Its totient is φ = 1327767552.

The previous prime is 4744438261. The next prime is 4744438289. The reversal of 4744438272 is 2728344474.

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 (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17127798 + ... + 17128074.

Almost surely, 2^4744438272 is an apocalyptic number.

4744438272 is a gapful number since it is divisible by the number (42) 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 4744438272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8258801760).

4744438272 is an abundant number, since it is smaller than the sum of its proper divisors (11773165248).

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

4744438272 is an equidigital number, since it uses as much as digits as its factorization.

4744438272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 348 counting only the distinct ones).

The product of its digits is 1204224, while the sum is 45.

The square root of 4744438272 is about 68879.8829267298. The cubic root of 4744438272 is about 1680.3313632091.

The spelling of 4744438272 in words is "four billion, seven hundred forty-four million, four hundred thirty-eight thousand, two hundred seventy-two".