199270400 has 168 divisors, whose sum is σ = 568817760. Its totient is φ = 67829760.

The previous prime is 199270381. The next prime is 199270403. The reversal of 199270400 is 4072991.

199270400 = T₂₃₁ + T₂₃₂ + ... + T₁₀₆₄.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (199270403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1433531 + ... + 1433669.

It is an arithmetic number, because the mean of its divisors is an integer number (3385820).

Almost surely, 2^199270400 is an apocalyptic number.

199270400 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 199270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284408880).

199270400 is an abundant number, since it is smaller than the sum of its proper divisors (369547360).

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

199270400 is an equidigital number, since it uses as much as digits as its factorization.

199270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 32.

The square root of 199270400 is about 14116.3168000722. The cubic root of 199270400 is about 584.0915600486.

The spelling of 199270400 in words is "one hundred ninety-nine million, two hundred seventy thousand, four hundred".