4472793600 has 240 divisors, whose sum is σ = 16120352160. Its totient is φ = 1084211200.

The previous prime is 4472793593. The next prime is 4472793617. The reversal of 4472793600 is 63972744.

It is a tau number, because it is divible by the number of its divisors (240).

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 23 ways as a sum of consecutive naturals, for example, 417106 + ... + 427694.

It is an arithmetic number, because the mean of its divisors is an integer number (67168134).

Almost surely, 2^4472793600 is an apocalyptic number.

4472793600 is a gapful number since it is divisible by the number (40) 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 4472793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8060176080).

4472793600 is an abundant number, since it is smaller than the sum of its proper divisors (11647558560).

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

4472793600 is a wasteful number, since it uses less digits than its factorization.

4472793600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10631 (or 10610 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The square root of 4472793600 is about 66878.9473601372. The cubic root of 4472793600 is about 1647.6297279803.

The spelling of 4472793600 in words is "four billion, four hundred seventy-two million, seven hundred ninety-three thousand, six hundred".