480422265625 has 27 divisors (see below), whose sum is σ = 601069516471. Its totient is φ = 383991250000.

The previous prime is 480422265601. The next prime is 480422265643. The reversal of 480422265625 is 526562224084.

The square root of 480422265625 is 693125.

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

It can be written as a sum of positive squares in 13 ways, for example, as 87197955849 + 393224309776 = 295293^2 + 627076^2 .

It is not a de Polignac number, because 480422265625 - 2¹³ = 480422257433 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 433202571 + ... + 433203679.

Almost surely, 2^480422265625 is an apocalyptic number.

480422265625 is the 693125-th square number.

480422265625 is the 346563-rd centered octagonal number.

It is an amenable number.

480422265625 is a deficient number, since it is larger than the sum of its proper divisors (120647250846).

480422265625 is an frugal number, since it uses more digits than its factorization.

480422265625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2258 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 46.

The spelling of 480422265625 in words is "four hundred eighty billion, four hundred twenty-two million, two hundred sixty-five thousand, six hundred twenty-five".