489851470080 has 1728 divisors, whose sum is σ = 2153126707200. Its totient is φ = 103255326720.

The previous prime is 489851470039. The next prime is 489851470127. The reversal of 489851470080 is 80074158984.

489851470080 is a `hidden beast` number, since 4 + 8 + 98 + 5 + 1 + 470 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-4 number, since 4×489851470080⁴ (a number of 48 digits) contains 4444 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 489851469999 and 489851470026.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6200651481 + ... + 6200651559.

It is an arithmetic number, because the mean of its divisors is an integer number (1246022400).

Almost surely, 2^489851470080 is an apocalyptic number.

489851470080 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 489851470080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076563353600).

489851470080 is an abundant number, since it is smaller than the sum of its proper divisors (1663275237120).

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

489851470080 is a wasteful number, since it uses less digits than its factorization.

489851470080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 489851470080 in words is "four hundred eighty-nine billion, eight hundred fifty-one million, four hundred seventy thousand, eighty".