470944009404288 has 3072 divisors, whose sum is σ = 1772791308288000. Its totient is φ = 116993719664640.

The previous prime is 470944009404277. The next prime is 470944009404289. The reversal of 470944009404288 is 882404900449074.

470944009404288 is a `hidden beast` number, since 4 + 70 + 9 + 4 + 400 + 9 + 40 + 42 + 88 = 666.

It is a super-2 number, since 2×470944009404288² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470944009404289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1504613448420 + ... + 1504613448732.

It is an arithmetic number, because the mean of its divisors is an integer number (577080504000).

Almost surely, 2^{470944009404288} is an apocalyptic number.

470944009404288 is a gapful number since it is divisible by the number (48) 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 470944009404288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886395654144000).

470944009404288 is an abundant number, since it is smaller than the sum of its proper divisors (1301847298883712).

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

470944009404288 is a wasteful number, since it uses less digits than its factorization.

470944009404288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 470944009404288 in words is "four hundred seventy trillion, nine hundred forty-four billion, nine million, four hundred four thousand, two hundred eighty-eight".