209934048 has 96 divisors (see below), whose sum is σ = 565899264. Its totient is φ = 68124672.

The previous prime is 209934029. The next prime is 209934061. The reversal of 209934048 is 840439902.

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

It is a junction number, because it is equal to n+sod(n) for n = 209933997 and 209934015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 816736 + ... + 816992.

It is an arithmetic number, because the mean of its divisors is an integer number (5894784).

Almost surely, 2^209934048 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 209934048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282949632).

209934048 is an abundant number, since it is smaller than the sum of its proper divisors (355965216).

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

209934048 is a wasteful number, since it uses less digits than its factorization.

209934048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 209934048 is about 14489.1010073089. The cubic root of 209934048 is about 594.3299643896.

The spelling of 209934048 in words is "two hundred nine million, nine hundred thirty-four thousand, forty-eight".