488843752320 has 512 divisors, whose sum is σ = 2158536729600. Its totient is φ = 101577646080.

The previous prime is 488843752291. The next prime is 488843752333. The reversal of 488843752320 is 23257348884.

488843752320 is a `hidden beast` number, since 4 + 8 + 8 + 84 + 37 + 523 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1146862 + ... + 1514258.

It is an arithmetic number, because the mean of its divisors is an integer number (4215892050).

Almost surely, 2^488843752320 is an apocalyptic number.

488843752320 is a gapful number since it is divisible by the number (40) 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 488843752320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079268364800).

488843752320 is an abundant number, since it is smaller than the sum of its proper divisors (1669692977280).

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

488843752320 is a wasteful number, since it uses less digits than its factorization.

488843752320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367443 (or 367425 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 488843752320 in words is "four hundred eighty-eight billion, eight hundred forty-three million, seven hundred fifty-two thousand, three hundred twenty".