489433901896800 has 3456 divisors, whose sum is σ = 2174712969461760. Its totient is φ = 101104920576000.

The previous prime is 489433901896783. The next prime is 489433901896837. The reversal of 489433901896800 is 8698109334984.

489433901896800 is a `hidden beast` number, since 4 + 8 + 9 + 433 + 9 + 0 + 189 + 6 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 304563721597 + ... + 304563723203.

It is an arithmetic number, because the mean of its divisors is an integer number (629257224960).

Almost surely, 2^{489433901896800} is an apocalyptic number.

489433901896800 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 489433901896800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1087356484730880).

489433901896800 is an abundant number, since it is smaller than the sum of its proper divisors (1685279067564960).

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

489433901896800 is a wasteful number, since it uses less digits than its factorization.

489433901896800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1874 (or 1858 counting only the distinct ones).

The product of its (nonzero) digits is 322486272, while the sum is 72.

The spelling of 489433901896800 in words is "four hundred eighty-nine trillion, four hundred thirty-three billion, nine hundred one million, eight hundred ninety-six thousand, eight hundred".