209950000 has 240 divisors, whose sum is σ = 610273440. Its totient is φ = 69120000.

The previous prime is 209949979. The next prime is 209950067. The reversal of 209950000 is 59902.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 47 ways as a sum of consecutive naturals, for example, 11049991 + ... + 11050009.

It is an arithmetic number, because the mean of its divisors is an integer number (2542806).

Almost surely, 2^209950000 is an apocalyptic number.

209950000 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 209950000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305136720).

209950000 is an abundant number, since it is smaller than the sum of its proper divisors (400323440).

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

209950000 is a wasteful number, since it uses less digits than its factorization.

209950000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 25.

The square root of 209950000 is about 14489.6514795905. The cubic root of 209950000 is about 594.3450175481.

The spelling of 209950000 in words is "two hundred nine million, nine hundred fifty thousand".