199215456 has 96 divisors (see below), whose sum is σ = 600566400. Its totient is φ = 57185280.

The previous prime is 199215451. The next prime is 199215479. The reversal of 199215456 is 654512991.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199215451) 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, 15100 + ... + 25028.

It is an arithmetic number, because the mean of its divisors is an integer number (6255900).

Almost surely, 2^199215456 is an apocalyptic number.

199215456 is a gapful number since it is divisible by the number (16) 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 199215456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300283200).

199215456 is an abundant number, since it is smaller than the sum of its proper divisors (401350944).

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

199215456 is a wasteful number, since it uses less digits than its factorization.

199215456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9972 (or 9964 counting only the distinct ones).

The product of its digits is 97200, while the sum is 42.

The square root of 199215456 is about 14114.3705491956. The cubic root of 199215456 is about 584.0378720670.

The spelling of 199215456 in words is "one hundred ninety-nine million, two hundred fifteen thousand, four hundred fifty-six".