209471730480 has 640 divisors, whose sum is σ = 796770432000. Its totient is φ = 50373550080.

The previous prime is 209471730427. The next prime is 209471730491. The reversal of 209471730480 is 84037174902.

209471730480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×209471730480² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 86880475 + ... + 86882885.

It is an arithmetic number, because the mean of its divisors is an integer number (1244953800).

Almost surely, 2^209471730480 is an apocalyptic number.

209471730480 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 209471730480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398385216000).

209471730480 is an abundant number, since it is smaller than the sum of its proper divisors (587298701520).

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

209471730480 is a wasteful number, since it uses less digits than its factorization.

209471730480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2554 (or 2542 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 209471730480 in words is "two hundred nine billion, four hundred seventy-one million, seven hundred thirty thousand, four hundred eighty".