984422400 has 576 divisors, whose sum is σ = 3838816800. Its totient is φ = 220200960.

The previous prime is 984422393. The next prime is 984422441. The reversal of 984422400 is 4224489.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1700 × 348 × 1664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33945586 + ... + 33945614.

Almost surely, 2^984422400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 984422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919408400).

984422400 is an abundant number, since it is smaller than the sum of its proper divisors (2854394400).

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

984422400 is a wasteful number, since it uses less digits than its factorization.

984422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 984422400 is about 31375.5063704158. The cubic root of 984422400 is about 994.7802684744.

Adding to 984422400 its reverse (4224489), we get a palindrome (988646889).

The spelling of 984422400 in words is "nine hundred eighty-four million, four hundred twenty-two thousand, four hundred".