209129472 has 208 divisors, whose sum is σ = 650037760. Its totient is φ = 66355200.

The previous prime is 209129443. The next prime is 209129483. The reversal of 209129472 is 274921902.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

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, 3428322 + ... + 3428382.

Almost surely, 2^209129472 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 209129472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325018880).

209129472 is an abundant number, since it is smaller than the sum of its proper divisors (440908288).

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

209129472 is an equidigital number, since it uses as much as digits as its factorization.

209129472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 209129472 is about 14461.3094842756. The cubic root of 209129472 is about 593.5697322811.

The spelling of 209129472 in words is "two hundred nine million, one hundred twenty-nine thousand, four hundred seventy-two".