488961605 has 54 divisors (see below), whose sum is σ = 690192594. Its totient is φ = 332270400.

The previous prime is 488961601. The next prime is 488961611. The reversal of 488961605 is 506169884.

It can be written as a sum of positive squares in 3 ways, for example, as 56280004 + 432681601 = 7502^2 + 20801^2 .

It is not a de Polignac number, because 488961605 - 2² = 488961601 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 488961605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488961601) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 15772940 + ... + 15772970.

Almost surely, 2^488961605 is an apocalyptic number.

It is an amenable number.

488961605 is a deficient number, since it is larger than the sum of its proper divisors (201230989).

488961605 is a wasteful number, since it uses less digits than its factorization.

488961605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 47.

The square root of 488961605 is about 22112.4762294954. The cubic root of 488961605 is about 787.8162223775.

Multiplying 488961605 by its product of nonzero digits (414720), we get a square (202782156825600 = 14240160²).

The spelling of 488961605 in words is "four hundred eighty-eight million, nine hundred sixty-one thousand, six hundred five".