984956448 has 144 divisors (see below), whose sum is σ = 3081595104. Its totient is φ = 274498560.

The previous prime is 984956429. The next prime is 984956509. The reversal of 984956448 is 844659489.

984956448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190311 + ... + 195417.

It is an arithmetic number, because the mean of its divisors is an integer number (21399966).

Almost surely, 2^984956448 is an apocalyptic number.

984956448 is a gapful number since it is divisible by the number (98) 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 984956448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540797552).

984956448 is an abundant number, since it is smaller than the sum of its proper divisors (2096638656).

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

984956448 is a wasteful number, since it uses less digits than its factorization.

984956448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5175 (or 5160 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 57.

The square root of 984956448 is about 31384.0158042275. The cubic root of 984956448 is about 994.9601249981.

The spelling of 984956448 in words is "nine hundred eighty-four million, nine hundred fifty-six thousand, four hundred forty-eight".