471828882240 has 336 divisors, whose sum is σ = 1635116059200. Its totient is φ = 124877168640.

The previous prime is 471828882199. The next prime is 471828882247. The reversal of 471828882240 is 42288828174.

471828882240 is a `hidden beast` number, since 47 + 1 + 8 + 288 + 82 + 240 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (471828882247) by changing a digit.

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, 277708911 + ... + 277710609.

Almost surely, 2^471828882240 is an apocalyptic number.

471828882240 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 471828882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817558029600).

471828882240 is an abundant number, since it is smaller than the sum of its proper divisors (1163287176960).

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

471828882240 is a wasteful number, since it uses less digits than its factorization.

471828882240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2390 (or 2377 counting only the distinct ones).

The product of its (nonzero) digits is 3670016, while the sum is 54.

The spelling of 471828882240 in words is "four hundred seventy-one billion, eight hundred twenty-eight million, eight hundred eighty-two thousand, two hundred forty".