984272256000 has 1408 divisors, whose sum is σ = 4204759403520. Its totient is φ = 224428032000.

The previous prime is 984272255977. The next prime is 984272256001. The reversal of 984272256000 is 652272489.

984272256000 is a `hidden beast` number, since 9 + 84 + 2 + 7 + 2 + 2 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (984272256001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 646271239 + ... + 646272761.

Almost surely, 2^984272256000 is an apocalyptic number.

984272256000 is a gapful number since it is divisible by the number (90) 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 984272256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2102379701760).

984272256000 is an abundant number, since it is smaller than the sum of its proper divisors (3220487147520).

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

984272256000 is a wasteful number, since it uses less digits than its factorization.

984272256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 984272256000 in words is "nine hundred eighty-four billion, two hundred seventy-two million, two hundred fifty-six thousand".