199413984 has 192 divisors, whose sum is σ = 666247680. Its totient is φ = 50718720.

The previous prime is 199413983. The next prime is 199413989. The reversal of 199413984 is 489314991.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199413983) 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 31 ways as a sum of consecutive naturals, for example, 391522 + ... + 392030.

It is an arithmetic number, because the mean of its divisors is an integer number (3470040).

Almost surely, 2^199413984 is an apocalyptic number.

199413984 is a gapful number since it is divisible by the number (14) 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 199413984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333123840).

199413984 is an abundant number, since it is smaller than the sum of its proper divisors (466833696).

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

199413984 is a wasteful number, since it uses less digits than its factorization.

199413984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 585 counting only the distinct ones).

The product of its digits is 279936, while the sum is 48.

The square root of 199413984 is about 14121.4016301499. The cubic root of 199413984 is about 584.2318151448.

The spelling of 199413984 in words is "one hundred ninety-nine million, four hundred thirteen thousand, nine hundred eighty-four".