470894071824 has 360 divisors, whose sum is σ = 1511994773016. Its totient is φ = 136577126400.

The previous prime is 470894071751. The next prime is 470894071829. The reversal of 470894071824 is 428170498074.

470894071824 is a `hidden beast` number, since 470 + 8 + 94 + 0 + 7 + 1 + 82 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2463335424 + 468430736400 = 49632^2 + 684420^2 .

It is not an unprimeable number, because it can be changed into a prime (470894071829) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 37856134 + ... + 37868570.

Almost surely, 2^470894071824 is an apocalyptic number.

470894071824 is a gapful number since it is divisible by the number (44) 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 470894071824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755997386508).

470894071824 is an abundant number, since it is smaller than the sum of its proper divisors (1041100701192).

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

470894071824 is a wasteful number, since it uses less digits than its factorization.

470894071824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12567 (or 12547 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 470894071824 in words is "four hundred seventy billion, eight hundred ninety-four million, seventy-one thousand, eight hundred twenty-four".