199740480 has 112 divisors (see below), whose sum is σ = 671535360. Its totient is φ = 50126848.

The previous prime is 199740473. The next prime is 199740481. The reversal of 199740480 is 84047991.

199740480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (199740481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10201 + ... + 22439.

Almost surely, 2^199740480 is an apocalyptic number.

199740480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

199740480 is the 8160-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335767680).

199740480 is an abundant number, since it is smaller than the sum of its proper divisors (471794880).

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

199740480 is a wasteful number, since it uses less digits than its factorization.

199740480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12276 (or 12266 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 199740480 is about 14132.9572277001. The cubic root of 199740480 is about 584.5504911278.

The spelling of 199740480 in words is "one hundred ninety-nine million, seven hundred forty thousand, four hundred eighty".