199940400 has 540 divisors, whose sum is σ = 837430776. Its totient is φ = 45619200.

The previous prime is 199940393. The next prime is 199940423. The reversal of 199940400 is 4049991.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 11761192 + ... + 11761208.

Almost surely, 2^199940400 is an apocalyptic number.

199940400 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 199940400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418715388).

199940400 is an abundant number, since it is smaller than the sum of its proper divisors (637490376).

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

199940400 is a wasteful number, since it uses less digits than its factorization.

199940400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 199940400 is about 14140.0282885148. The cubic root of 199940400 is about 584.7454513856.

The spelling of 199940400 in words is "one hundred ninety-nine million, nine hundred forty thousand, four hundred".