470982759840 has 384 divisors, whose sum is σ = 1661848151040. Its totient is φ = 124578432000.

The previous prime is 470982759839. The next prime is 470982759869. The reversal of 470982759840 is 48957289074.

470982759840 is a `hidden beast` number, since 470 + 9 + 8 + 2 + 75 + 98 + 4 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 324591115 + ... + 324592565.

It is an arithmetic number, because the mean of its divisors is an integer number (4327729560).

Almost surely, 2^470982759840 is an apocalyptic number.

470982759840 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 470982759840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830924075520).

470982759840 is an abundant number, since it is smaller than the sum of its proper divisors (1190865391200).

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

470982759840 is a wasteful number, since it uses less digits than its factorization.

470982759840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 470982759840 in words is "four hundred seventy billion, nine hundred eighty-two million, seven hundred fifty-nine thousand, eight hundred forty".