471343468320 has 288 divisors, whose sum is σ = 1637886362112. Its totient is φ = 123407732736.

The previous prime is 471343468319. The next prime is 471343468339. The reversal of 471343468320 is 23864343174.

471343468320 is a `hidden beast` number, since 471 + 3 + 43 + 46 + 83 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 23431707 + ... + 23451813.

It is an arithmetic number, because the mean of its divisors is an integer number (5687105424).

Almost surely, 2^471343468320 is an apocalyptic number.

471343468320 is a gapful number since it is divisible by the number (40) 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 471343468320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818943181056).

471343468320 is an abundant number, since it is smaller than the sum of its proper divisors (1166542893792).

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

471343468320 is a wasteful number, since it uses less digits than its factorization.

471343468320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20424 (or 20413 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 471343468320 in words is "four hundred seventy-one billion, three hundred forty-three million, four hundred sixty-eight thousand, three hundred twenty".