488475592704 has 864 divisors, whose sum is σ = 1674679406400. Its totient is φ = 135762739200.

The previous prime is 488475592697. The next prime is 488475592723. The reversal of 488475592704 is 407295574884.

It is a happy number.

488475592704 is a `hidden beast` number, since 4 + 8 + 8 + 4 + 7 + 559 + 2 + 70 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4481427402 + ... + 4481427510.

It is an arithmetic number, because the mean of its divisors is an integer number (1938286350).

Almost surely, 2^488475592704 is an apocalyptic number.

488475592704 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488475592704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837339703200).

488475592704 is an abundant number, since it is smaller than the sum of its proper divisors (1186203813696).

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

488475592704 is a wasteful number, since it uses less digits than its factorization.

488475592704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 488475592704 in words is "four hundred eighty-eight billion, four hundred seventy-five million, five hundred ninety-two thousand, seven hundred four".