4479838272 has 448 divisors, whose sum is σ = 16750182400. Its totient is φ = 1142138880.

The previous prime is 4479838267. The next prime is 4479838273. The reversal of 4479838272 is 2728389744.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 (4479838273) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4874229 + ... + 4875147.

It is an arithmetic number, because the mean of its divisors is an integer number (37388800).

Almost surely, 2^4479838272 is an apocalyptic number.

4479838272 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 4479838272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8375091200).

4479838272 is an abundant number, since it is smaller than the sum of its proper divisors (12270344128).

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

4479838272 is a wasteful number, since it uses less digits than its factorization.

4479838272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 975 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 4479838272 is about 66931.5939747441. The cubic root of 4479838272 is about 1648.4942825648.

The spelling of 4479838272 in words is "four billion, four hundred seventy-nine million, eight hundred thirty-eight thousand, two hundred seventy-two".