984445920 has 192 divisors, whose sum is σ = 3557191680. Its totient is φ = 254016000.

The previous prime is 984445909. The next prime is 984445921. The reversal of 984445920 is 29544489.

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 (984445921) 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 31 ways as a sum of consecutive naturals, for example, 130245 + ... + 137595.

It is an arithmetic number, because the mean of its divisors is an integer number (18527040).

Almost surely, 2^984445920 is an apocalyptic number.

984445920 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 984445920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778595840).

984445920 is an abundant number, since it is smaller than the sum of its proper divisors (2572745760).

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

984445920 is a wasteful number, since it uses less digits than its factorization.

984445920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7406 (or 7392 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 984445920 is about 31375.8811828449. The cubic root of 984445920 is about 994.7881909020.

The spelling of 984445920 in words is "nine hundred eighty-four million, four hundred forty-five thousand, nine hundred twenty".