470443900680 has 576 divisors, whose sum is σ = 1712014995600. Its totient is φ = 111910256640.

The previous prime is 470443900679. The next prime is 470443900691. The reversal of 470443900680 is 86009344074.

470443900680 is a `hidden beast` number, since 47 + 0 + 443 + 90 + 0 + 6 + 80 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 355185008676 + 115258892004 = 595974^2 + 339498^2 .

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 (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 281870886 + ... + 281872554.

Almost surely, 2^470443900680 is an apocalyptic number.

470443900680 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 470443900680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856007497800).

470443900680 is an abundant number, since it is smaller than the sum of its proper divisors (1241571094920).

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

470443900680 is a wasteful number, since it uses less digits than its factorization.

470443900680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 470443900680 in words is "four hundred seventy billion, four hundred forty-three million, nine hundred thousand, six hundred eighty".