9990488400 has 240 divisors, whose sum is σ = 34005561600. Its totient is φ = 2502420480.

The previous prime is 9990488359. The next prime is 9990488407. The reversal of 9990488400 is 48840999.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9990488407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1283721 + ... + 1291479.

It is an arithmetic number, because the mean of its divisors is an integer number (141689840).

Almost surely, 2^9990488400 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 9990488400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17002780800).

9990488400 is an abundant number, since it is smaller than the sum of its proper divisors (24015073200).

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

9990488400 is a wasteful number, since it uses less digits than its factorization.

9990488400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7846 (or 7835 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 9990488400 is about 99952.4306858017. The cubic root of 9990488400 is about 2153.7514026476.

The spelling of 9990488400 in words is "nine billion, nine hundred ninety million, four hundred eighty-eight thousand, four hundred".