489781052006400 has 9072 divisors, whose sum is σ = 2511261014633280. Its totient is φ = 93306028032000.

The previous prime is 489781052006377. The next prime is 489781052006413. The reversal of 489781052006400 is 4600250187984.

It is a happy number.

489781052006400 is a `hidden beast` number, since 4 + 8 + 9 + 78 + 1 + 0 + 520 + 0 + 6 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (9072).

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 polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 15799388774385 + ... + 15799388774415.

It is an arithmetic number, because the mean of its divisors is an integer number (276814485740).

Almost surely, 2^{489781052006400} is an apocalyptic number.

489781052006400 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 489781052006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255630507316640).

489781052006400 is an abundant number, since it is smaller than the sum of its proper divisors (2021479962626880).

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

489781052006400 is a wasteful number, since it uses less digits than its factorization.

489781052006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 489781052006400 in words is "four hundred eighty-nine trillion, seven hundred eighty-one billion, fifty-two million, six thousand, four hundred".