488107630609 has 15 divisors (see below), whose sum is σ = 505072601385. Its totient is φ = 471712481460.

The previous prime is 488107630589. The next prime is 488107630649. The reversal of 488107630609 is 906036701884.

It is a happy number.

The square root of 488107630609 is 698647.

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

It is not a de Polignac number, because 488107630609 - 2¹³ = 488107622417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (488107630649) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 671399404 + ... + 671400130.

It is an arithmetic number, because the mean of its divisors is an integer number (33671506759).

Almost surely, 2^488107630609 is an apocalyptic number.

488107630609 is the 698647-th square number.

488107630609 is the 349324-th centered octagonal number.

It is an amenable number.

488107630609 is a deficient number, since it is larger than the sum of its proper divisors (16964970776).

488107630609 is an frugal number, since it uses more digits than its factorization.

488107630609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 52.

The spelling of 488107630609 in words is "four hundred eighty-eight billion, one hundred seven million, six hundred thirty thousand, six hundred nine".