199459680 has 384 divisors, whose sum is σ = 783820800. Its totient is φ = 41631744.

The previous prime is 199459669. The next prime is 199459693. The reversal of 199459680 is 86954991.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2241076 + ... + 2241164.

It is an arithmetic number, because the mean of its divisors is an integer number (2041200).

Almost surely, 2^199459680 is an apocalyptic number.

199459680 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 199459680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391910400).

199459680 is an abundant number, since it is smaller than the sum of its proper divisors (584361120).

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

199459680 is a wasteful number, since it uses less digits than its factorization.

199459680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 51.

The square root of 199459680 is about 14123.0195071734. The cubic root of 199459680 is about 584.2764375889.

The spelling of 199459680 in words is "one hundred ninety-nine million, four hundred fifty-nine thousand, six hundred eighty".