9984902400 has 1080 divisors, whose sum is σ = 43058119104. Its totient is φ = 2256076800.

The previous prime is 9984902387. The next prime is 9984902429. The reversal of 9984902400 is 42094899.

It is a tau number, because it is divible by the number of its divisors (1080).

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

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 119 ways as a sum of consecutive naturals, for example, 96940749 + ... + 96940851.

Almost surely, 2^9984902400 is an apocalyptic number.

9984902400 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 9984902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21529059552).

9984902400 is an abundant number, since it is smaller than the sum of its proper divisors (33073216704).

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

9984902400 is a wasteful number, since it uses less digits than its factorization.

9984902400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 9984902400 is about 99924.4834862808. The cubic root of 9984902400 is about 2153.3499174940.

The spelling of 9984902400 in words is "nine billion, nine hundred eighty-four million, nine hundred two thousand, four hundred".