199755408 has 80 divisors (see below), whose sum is σ = 528180480. Its totient is φ = 65036928.

The previous prime is 199755407. The next prime is 199755431. The reversal of 199755408 is 804557991.

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

It is not an unprimeable number, because it can be changed into a prime (199755407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 575491 + ... + 575837.

It is an arithmetic number, because the mean of its divisors is an integer number (6602256).

Almost surely, 2^199755408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199755408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264090240).

199755408 is an abundant number, since it is smaller than the sum of its proper divisors (328425072).

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

199755408 is a wasteful number, since it uses less digits than its factorization.

199755408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 48.

The square root of 199755408 is about 14133.4853450945. The cubic root of 199755408 is about 584.5650532776.

The spelling of 199755408 in words is "one hundred ninety-nine million, seven hundred fifty-five thousand, four hundred eight".