99284400 has 240 divisors, whose sum is σ = 366717600. Its totient is φ = 25482240.

The previous prime is 99284387. The next prime is 99284407. The reversal of 99284400 is 448299.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (99284407) 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, 313042 + ... + 313358.

It is an arithmetic number, because the mean of its divisors is an integer number (1527990).

Almost surely, 2^99284400 is an apocalyptic number.

99284400 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 99284400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183358800).

99284400 is an abundant number, since it is smaller than the sum of its proper divisors (267433200).

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

99284400 is a wasteful number, since it uses less digits than its factorization.

99284400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 99284400 is about 9964.1557595212. The cubic root of 99284400 is about 463.0490581769.

The spelling of 99284400 in words is "ninety-nine million, two hundred eighty-four thousand, four hundred".