488265625 has 14 divisors (see below), whose sum is σ = 610343750. Its totient is φ = 390600000.

The previous prime is 488265623. The next prime is 488265641. The reversal of 488265625 is 526562884.

488265625 is a nontrivial binomial coefficient, being equal to C(31250, 2).

It can be written as a sum of positive squares in 7 ways, for example, as 487349776 + 915849 = 22076^2 + 957^2 .

It is not a de Polignac number, because 488265625 - 2¹ = 488265623 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488265623) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1 + ... + 31249.

Almost surely, 2^488265625 is an apocalyptic number.

488265625 is the 31249-th triangular number and also the 15625-th hexagonal number.

488265625 is the 10417-th centered nonagonal number.

It is an amenable number.

488265625 is a deficient number, since it is larger than the sum of its proper divisors (122078125).

488265625 is an frugal number, since it uses more digits than its factorization.

488265625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31279 (or 31254 counting only the distinct ones).

The product of its digits is 921600, while the sum is 46.

The square root of 488265625 is about 22096.7333558605. The cubic root of 488265625 is about 787.4422566210.

It can be divided in two parts, 4882 and 65625, that added together give a palindrome (70507).

The spelling of 488265625 in words is "four hundred eighty-eight million, two hundred sixty-five thousand, six hundred twenty-five".