9898250400 has 432 divisors, whose sum is σ = 36670652928. Its totient is φ = 2509056000.

The previous prime is 9898250387. The next prime is 9898250413. The reversal of 9898250400 is 40528989.

It is an interprime number because it is at equal distance from previous prime (9898250387) and next prime (9898250413).

It is a super-2 number, since 2×9898250400² (a number of 21 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 13614837 + ... + 13615563.

Almost surely, 2^9898250400 is an apocalyptic number.

9898250400 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 9898250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18335326464).

9898250400 is an abundant number, since it is smaller than the sum of its proper divisors (26772402528).

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

9898250400 is a wasteful number, since it uses less digits than its factorization.

9898250400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 9898250400 is about 99489.9512513701. The cubic root of 9898250400 is about 2147.1026702484.

The spelling of 9898250400 in words is "nine billion, eight hundred ninety-eight million, two hundred fifty thousand, four hundred".