9848390400 has 216 divisors, whose sum is σ = 36113678160. Its totient is φ = 2626191360.

The previous prime is 9848390353. The next prime is 9848390417. The reversal of 9848390400 is 40938489.

It is a happy number.

9848390400 is a `hidden beast` number, since 9 + 84 + 83 + 90 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144304 + ... + 201296.

Almost surely, 2^9848390400 is an apocalyptic number.

9848390400 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 9848390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18056839080).

9848390400 is an abundant number, since it is smaller than the sum of its proper divisors (26265287760).

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

9848390400 is a wasteful number, since it uses less digits than its factorization.

9848390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57028 (or 57003 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 9848390400 is about 99239.0568274407. The cubic root of 9848390400 is about 2143.4914328018.

The spelling of 9848390400 in words is "nine billion, eight hundred forty-eight million, three hundred ninety thousand, four hundred".