489406445660880 has 960 divisors, whose sum is σ = 1917916971100416. Its totient is φ = 110522327040000.

The previous prime is 489406445660879. The next prime is 489406445660911. The reversal of 489406445660880 is 88066544604984.

489406445660880 is a `hidden beast` number, since 4 + 8 + 9 + 4 + 0 + 6 + 4 + 4 + 5 + 6 + 608 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 489406445660799 and 489406445660808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 74479747995 + ... + 74479754565.

Almost surely, 2^{489406445660880} is an apocalyptic number.

489406445660880 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 489406445660880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958958485550208).

489406445660880 is an abundant number, since it is smaller than the sum of its proper divisors (1428510525439536).

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

489406445660880 is a wasteful number, since it uses less digits than its factorization.

489406445660880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12196 (or 12187 counting only the distinct ones).

The product of its (nonzero) digits is 1274019840, while the sum is 72.

The spelling of 489406445660880 in words is "four hundred eighty-nine trillion, four hundred six billion, four hundred forty-five million, six hundred sixty thousand, eight hundred eighty".