209225376 has 96 divisors (see below), whose sum is σ = 615928320. Its totient is φ = 69092352.

The previous prime is 209225369. The next prime is 209225377. The reversal of 209225376 is 673522902.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 209225376.

It is not an unprimeable number, because it can be changed into a prime (209225377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96561 + ... + 98703.

It is an arithmetic number, because the mean of its divisors is an integer number (6415920).

Almost surely, 2^209225376 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 209225376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307964160).

209225376 is an abundant number, since it is smaller than the sum of its proper divisors (406702944).

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

209225376 is a wasteful number, since it uses less digits than its factorization.

209225376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2275 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 209225376 is about 14464.6249864972. The cubic root of 209225376 is about 593.6604528150.

The spelling of 209225376 in words is "two hundred nine million, two hundred twenty-five thousand, three hundred seventy-six".