209149248 has 336 divisors, whose sum is σ = 733860864. Its totient is φ = 51932160.

The previous prime is 209149243. The next prime is 209149267. The reversal of 209149248 is 842941902.

209149248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209149243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4449961 + ... + 4450007.

Almost surely, 2^209149248 is an apocalyptic number.

209149248 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 209149248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366930432).

209149248 is an abundant number, since it is smaller than the sum of its proper divisors (524711616).

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

209149248 is a wasteful number, since it uses less digits than its factorization.

209149248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 209149248 is about 14461.9932236189. The cubic root of 209149248 is about 593.5884416878.

The spelling of 209149248 in words is "two hundred nine million, one hundred forty-nine thousand, two hundred forty-eight".