488577760 has 48 divisors (see below), whose sum is σ = 1259202672. Its totient is φ = 177664000.

The previous prime is 488577751. The next prime is 488577779. The reversal of 488577760 is 67775884.

It is a super-3 number, since 3×488577760³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 488577698 and 488577707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137041 + ... + 140560.

It is an arithmetic number, because the mean of its divisors is an integer number (26233389).

Almost surely, 2^488577760 is an apocalyptic number.

488577760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

488577760 is an abundant number, since it is smaller than the sum of its proper divisors (770624912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

488577760 is a wasteful number, since it uses less digits than its factorization.

488577760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277627 (or 277619 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 52.

The square root of 488577760 is about 22103.7951492498. The cubic root of 488577760 is about 787.6100177190.

The spelling of 488577760 in words is "four hundred eighty-eight million, five hundred seventy-seven thousand, seven hundred sixty".