209064240 has 400 divisors, whose sum is σ = 907441920. Its totient is φ = 43338240.

The previous prime is 209064209. The next prime is 209064259. The reversal of 209064240 is 42460902.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 498751 + ... + 499169.

Almost surely, 2^209064240 is an apocalyptic number.

209064240 is a gapful number since it is divisible by the number (20) 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 209064240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453720960).

209064240 is an abundant number, since it is smaller than the sum of its proper divisors (698377680).

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

209064240 is a wasteful number, since it uses less digits than its factorization.

209064240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 209064240 is about 14459.0539109584. The cubic root of 209064240 is about 593.5080101225.

The spelling of 209064240 in words is "two hundred nine million, sixty-four thousand, two hundred forty".