99384400 has 30 divisors (see below), whose sum is σ = 238771982. Its totient is φ = 39753600.

The previous prime is 99384371. The next prime is 99384401. The reversal of 99384400 is 448399.

It can be written as a sum of positive squares in 3 ways, for example, as 501264 + 98883136 = 708^2 + 9944^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 99384400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99384401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 123831 + ... + 124630.

Almost surely, 2^99384400 is an apocalyptic number.

It is an amenable number.

99384400 is an abundant number, since it is smaller than the sum of its proper divisors (139387582).

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

99384400 is a wasteful number, since it uses less digits than its factorization.

99384400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248479 (or 248468 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 99384400 is about 9969.1724832104. The cubic root of 99384400 is about 463.2044681852.

The spelling of 99384400 in words is "ninety-nine million, three hundred eighty-four thousand, four hundred".