488631025 has 9 divisors (see below), whose sum is σ = 606039553. Its totient is φ = 390816400.

The previous prime is 488631007. The next prime is 488631029. The reversal of 488631025 is 520136884.

It is a happy number.

The square root of 488631025 is 22105.

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

It can be written as a sum of positive squares in 4 ways, for example, as 23107249 + 465523776 = 4807^2 + 21576^2 .

It is not a de Polignac number, because 488631025 - 2⁵ = 488630993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (488631029) 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 8 ways as a sum of consecutive naturals, for example, 108315 + ... + 112735.

Almost surely, 2^488631025 is an apocalyptic number.

488631025 is the 22105-th square number.

488631025 is the 11053-rd centered octagonal number.

It is an amenable number.

488631025 is a deficient number, since it is larger than the sum of its proper divisors (117408528).

488631025 is an frugal number, since it uses more digits than its factorization.

488631025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8852 (or 4426 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The cubic root of 488631025 is about 787.6386385628.

The spelling of 488631025 in words is "four hundred eighty-eight million, six hundred thirty-one thousand, twenty-five".