4456574720 has 144 divisors (see below), whose sum is σ = 11557201152. Its totient is φ = 1636761600.

The previous prime is 4456574719. The next prime is 4456574723. The reversal of 4456574720 is 274756544.

It is a happy number.

It is a super-2 number, since 2×4456574720² = 39722116469886156800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4456574723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3710120 + ... + 3711320.

Almost surely, 2^4456574720 is an apocalyptic number.

4456574720 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 4456574720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5778600576).

4456574720 is an abundant number, since it is smaller than the sum of its proper divisors (7100626432).

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

4456574720 is a wasteful number, since it uses less digits than its factorization.

4456574720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 44.

The square root of 4456574720 is about 66757.5817417018. The cubic root of 4456574720 is about 1645.6358157213.

The spelling of 4456574720 in words is "four billion, four hundred fifty-six million, five hundred seventy-four thousand, seven hundred twenty".