209480128 has 112 divisors (see below), whose sum is σ = 499774464. Its totient is φ = 85847040.

The previous prime is 209480107. The next prime is 209480153. The reversal of 209480128 is 821084902.

It is a junction number, because it is equal to n+sod(n) for n = 209480093 and 209480102.

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 15 ways as a sum of consecutive naturals, for example, 429901 + ... + 430387.

It is an arithmetic number, because the mean of its divisors is an integer number (4462272).

Almost surely, 2^209480128 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 209480128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249887232).

209480128 is an abundant number, since it is smaller than the sum of its proper divisors (290294336).

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

209480128 is a wasteful number, since it uses less digits than its factorization.

209480128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 209480128 is about 14473.4283430015. The cubic root of 209480128 is about 593.9013013050.

The spelling of 209480128 in words is "two hundred nine million, four hundred eighty thousand, one hundred twenty-eight".