209648952 has 128 divisors (see below), whose sum is σ = 603417600. Its totient is φ = 67405824.

The previous prime is 209648941. The next prime is 209648977. The reversal of 209648952 is 259846902.

It is a junction number, because it is equal to n+sod(n) for n = 209648898 and 209648907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1086168 + ... + 1086360.

It is an arithmetic number, because the mean of its divisors is an integer number (4714200).

Almost surely, 2^209648952 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 209648952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301708800).

209648952 is an abundant number, since it is smaller than the sum of its proper divisors (393768648).

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

209648952 is a wasteful number, since it uses less digits than its factorization.

209648952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 209648952 is about 14479.2593733243. The cubic root of 209648952 is about 594.0608038971.

The spelling of 209648952 in words is "two hundred nine million, six hundred forty-eight thousand, nine hundred fifty-two".