209407968 has 432 divisors, whose sum is σ = 806682240. Its totient is φ = 50803200.

The previous prime is 209407967. The next prime is 209408021. The reversal of 209407968 is 869704902.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209407963) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2949373 + ... + 2949443.

It is an arithmetic number, because the mean of its divisors is an integer number (1867320).

Almost surely, 2^209407968 is an apocalyptic number.

209407968 is a gapful number since it is divisible by the number (28) 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 209407968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403341120).

209407968 is an abundant number, since it is smaller than the sum of its proper divisors (597274272).

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

209407968 is a wasteful number, since it uses less digits than its factorization.

209407968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 209407968 is about 14470.9352842171. The cubic root of 209407968 is about 593.8330993867.

The spelling of 209407968 in words is "two hundred nine million, four hundred seven thousand, nine hundred sixty-eight".