398050099200 has 576 divisors, whose sum is σ = 1535935144380. Its totient is φ = 97957969920.

The previous prime is 398050099169. The next prime is 398050099201. The reversal of 398050099200 is 2990050893.

398050099200 is a `hidden beast` number, since 39 + 8 + 0 + 500 + 99 + 20 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4830806016 + 393219293184 = 69504^2 + 627072^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (398050099201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 95844324 + ... + 95848476.

Almost surely, 2^398050099200 is an apocalyptic number.

398050099200 is a gapful number since it is divisible by the number (30) 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 398050099200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767967572190).

398050099200 is an abundant number, since it is smaller than the sum of its proper divisors (1137885045180).

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

398050099200 is a wasteful number, since it uses less digits than its factorization.

398050099200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4212 (or 4176 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 398050099200 in words is "three hundred ninety-eight billion, fifty million, ninety-nine thousand, two hundred".