209972448 has 108 divisors (see below), whose sum is σ = 694643040. Its totient is φ = 59988096.

The previous prime is 209972417. The next prime is 209972459. The reversal of 209972448 is 844279902.

It is a super-2 number, since 2×209972448² = 88176857838225408, which contains 22 as substring.

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 17 ways as a sum of consecutive naturals, for example, 6673 + ... + 21551.

It is an arithmetic number, because the mean of its divisors is an integer number (6431880).

Almost surely, 2^209972448 is an apocalyptic number.

209972448 is a gapful number since it is divisible by the number (28) 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 209972448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347321520).

209972448 is an abundant number, since it is smaller than the sum of its proper divisors (484670592).

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

209972448 is a wasteful number, since it uses less digits than its factorization.

209972448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14909 (or 14891 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 209972448 is about 14490.4260806920. The cubic root of 209972448 is about 594.3661993874.

It can be divided in two parts, 2099 and 72448, that added together give a palindrome (74547).

The spelling of 209972448 in words is "two hundred nine million, nine hundred seventy-two thousand, four hundred forty-eight".