199554432 has 256 divisors, whose sum is σ = 701498880. Its totient is φ = 48660480.

The previous prime is 199554427. The next prime is 199554437. The reversal of 199554432 is 234455991.

199554432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (199554427) and next prime (199554437).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199554437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 502458 + ... + 502854.

It is an arithmetic number, because the mean of its divisors is an integer number (2740230).

Almost surely, 2^199554432 is an apocalyptic number.

199554432 is a gapful number since it is divisible by the number (12) 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 199554432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350749440).

199554432 is an abundant number, since it is smaller than the sum of its proper divisors (501944448).

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

199554432 is a wasteful number, since it uses less digits than its factorization.

199554432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 437 counting only the distinct ones).

The product of its digits is 194400, while the sum is 42.

The square root of 199554432 is about 14126.3736323233. The cubic root of 199554432 is about 584.3689418267.

The spelling of 199554432 in words is "one hundred ninety-nine million, five hundred fifty-four thousand, four hundred thirty-two".