488830725600 has 144 divisors (see below), whose sum is σ = 1818450361728. Its totient is φ = 111732733440.

The previous prime is 488830725599. The next prime is 488830725601. The reversal of 488830725600 is 6527038884.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (488830725599) and next prime (488830725601).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488830725601) 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 23 ways as a sum of consecutive naturals, for example, 14531734 + ... + 14565333.

It is an arithmetic number, because the mean of its divisors is an integer number (12628127512).

Almost surely, 2^488830725600 is an apocalyptic number.

488830725600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

488830725600 is an abundant number, since it is smaller than the sum of its proper divisors (1329619636128).

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

488830725600 is a wasteful number, since it uses less digits than its factorization.

488830725600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29097097 (or 29097084 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 488830725600 in words is "four hundred eighty-eight billion, eight hundred thirty million, seven hundred twenty-five thousand, six hundred".