199430400 has 432 divisors, whose sum is σ = 766450944. Its totient is φ = 45219840.

The previous prime is 199430393. The next prime is 199430503. The reversal of 199430400 is 4034991.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4243177 + ... + 4243223.

It is an arithmetic number, because the mean of its divisors is an integer number (1774192).

Almost surely, 2^199430400 is an apocalyptic number.

199430400 is a gapful number since it is divisible by the number (10) 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 199430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383225472).

199430400 is an abundant number, since it is smaller than the sum of its proper divisors (567020544).

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

199430400 is a wasteful number, since it uses less digits than its factorization.

199430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 199430400 is about 14121.9828636067. The cubic root of 199430400 is about 584.2478462611.

The spelling of 199430400 in words is "one hundred ninety-nine million, four hundred thirty thousand, four hundred".