199415424 has 128 divisors (see below), whose sum is σ = 584337600. Its totient is φ = 59867136.

The previous prime is 199415399. The next prime is 199415429. The reversal of 199415424 is 424514991.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×199415424² = 79533022658199552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (199415429) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 214192 + ... + 215120.

Almost surely, 2^199415424 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 199415424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292168800).

199415424 is an abundant number, since it is smaller than the sum of its proper divisors (384922176).

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

199415424 is a wasteful number, since it uses less digits than its factorization.

199415424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 990 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 199415424 is about 14121.4526164981. The cubic root of 199415424 is about 584.2332214183.

The spelling of 199415424 in words is "one hundred ninety-nine million, four hundred fifteen thousand, four hundred twenty-four".