303728845456 has 45 divisors (see below), whose sum is σ = 609594907753. Its totient is φ = 146596856000.

The previous prime is 303728845393. The next prime is 303728845493. The reversal of 303728845456 is 654548827303.

The square root of 303728845456 is 551116.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 159268039056 + 144460806400 = 399084^2 + 380080^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 303728845397 and 303728845406.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 63927081 + ... + 63931831.

Almost surely, 2^303728845456 is an apocalyptic number.

303728845456 is the 551116-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 303728845456

303728845456 is an abundant number, since it is smaller than the sum of its proper divisors (305866062297).

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

303728845456 is an frugal number, since it uses more digits than its factorization.

303728845456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9568 (or 4782 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 55.

It can be divided in two parts, 303728 and 845456, that added together give a square (1149184 = 1072²).

The spelling of 303728845456 in words is "three hundred three billion, seven hundred twenty-eight million, eight hundred forty-five thousand, four hundred fifty-six".