478305027216 has 75 divisors (see below), whose sum is σ = 1384425580483. Its totient is φ = 159426709920.

The previous prime is 478305027199. The next prime is 478305027217. The reversal of 478305027216 is 612720503874.

The square root of 478305027216 is 691596.

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

478305027216 is a `hidden beast` number, since 4 + 78 + 3 + 0 + 502 + 72 + 1 + 6 = 666.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (478305027217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 24887851 + ... + 24907061.

Almost surely, 2^478305027216 is an apocalyptic number.

478305027216 is the 691596-th square number.

It is an amenable number.

478305027216 is an abundant number, since it is smaller than the sum of its proper divisors (906120553267).

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

478305027216 is an frugal number, since it uses more digits than its factorization.

478305027216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38442 (or 19216 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 478305027216 in words is "four hundred seventy-eight billion, three hundred five million, twenty-seven thousand, two hundred sixteen".