209829312 has 448 divisors, whose sum is σ = 819302400. Its totient is φ = 51010560.

The previous prime is 209829271. The next prime is 209829329. The reversal of 209829312 is 213928902.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2528023 + ... + 2528105.

It is an arithmetic number, because the mean of its divisors is an integer number (1828800).

Almost surely, 2^209829312 is an apocalyptic number.

209829312 is a gapful number since it is divisible by the number (22) 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 209829312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409651200).

209829312 is an abundant number, since it is smaller than the sum of its proper divisors (609473088).

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

209829312 is a wasteful number, since it uses less digits than its factorization.

209829312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 209829312 is about 14485.4862534884. The cubic root of 209829312 is about 594.2311109665.

The spelling of 209829312 in words is "two hundred nine million, eight hundred twenty-nine thousand, three hundred twelve".