209340384 has 96 divisors (see below), whose sum is σ = 604267776. Its totient is φ = 62929920.

The previous prime is 209340343. The next prime is 209340389. The reversal of 209340384 is 483043902.

209340384 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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 (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209340389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143949 + ... + 145395.

It is an arithmetic number, because the mean of its divisors is an integer number (6294456).

Almost surely, 2^209340384 is an apocalyptic number.

209340384 is a gapful number since it is divisible by the number (24) 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 209340384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302133888).

209340384 is an abundant number, since it is smaller than the sum of its proper divisors (394927392).

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

209340384 is a wasteful number, since it uses less digits than its factorization.

209340384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 209340384 is about 14468.5999322671. The cubic root of 209340384 is about 593.7692082576.

The spelling of 209340384 in words is "two hundred nine million, three hundred forty thousand, three hundred eighty-four".