478515625 has 33 divisors (see below), whose sum is σ = 695800767. Its totient is φ = 328125000.

The previous prime is 478515623. The next prime is 478515637. The reversal of 478515625 is 526515874.

The square root of 478515625 is 21875.

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

It can be written as a sum of positive squares in 5 ways, for example, as 2752281 + 475763344 = 1659^2 + 21812^2 .

It is not a de Polignac number, because 478515625 - 2¹ = 478515623 is a prime.

It is a Duffinian number.

Its product of digits (336000) is a multiple of the sum of its prime divisors (12).

It is not an unprimeable number, because it can be changed into a prime (478515623) 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 32 ways as a sum of consecutive naturals, for example, 68359372 + ... + 68359378.

Almost surely, 2^478515625 is an apocalyptic number.

478515625 is the 21875-th square number.

478515625 is the 10938-th centered octagonal number.

It is an amenable number.

478515625 is a deficient number, since it is larger than the sum of its proper divisors (217285142).

478515625 is an frugal number, since it uses more digits than its factorization.

478515625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 12 counting only the distinct ones).

The product of its digits is 336000, while the sum is 43.

The cubic root of 478515625 is about 782.1655932095.

The spelling of 478515625 in words is "four hundred seventy-eight million, five hundred fifteen thousand, six hundred twenty-five".