984424896 has 252 divisors, whose sum is σ = 3536164632. Its totient is φ = 259531776.

The previous prime is 984424891. The next prime is 984424897. The reversal of 984424896 is 698424489.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×984424896² = 1938184751729221632, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (984424891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 365571 + ... + 368253.

Almost surely, 2^984424896 is an apocalyptic number.

984424896 is a gapful number since it is divisible by the number (96) 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 984424896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768082316).

984424896 is an abundant number, since it is smaller than the sum of its proper divisors (2551739736).

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

984424896 is a wasteful number, since it uses less digits than its factorization.

984424896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2728 (or 2708 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 984424896 is about 31375.5461466410. The cubic root of 984424896 is about 994.7811092278.

The spelling of 984424896 in words is "nine hundred eighty-four million, four hundred twenty-four thousand, eight hundred ninety-six".