470291589099360 has 2304 divisors, whose sum is σ = 2015332171776000. Its totient is φ = 101994629345280.

The previous prime is 470291589099323. The next prime is 470291589099379. The reversal of 470291589099360 is 63990985192074.

470291589099360 is a `hidden beast` number, since 4 + 7 + 0 + 2 + 9 + 1 + 589 + 0 + 9 + 9 + 36 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 169964432697 + ... + 169964435463.

It is an arithmetic number, because the mean of its divisors is an integer number (874710144000).

It is a 1-persistent number, because it is pandigital, but 2⋅470291589099360 = 940583178198720 is not.

Almost surely, 2^{470291589099360} is an apocalyptic number.

470291589099360 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 470291589099360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007666085888000).

470291589099360 is an abundant number, since it is smaller than the sum of its proper divisors (1545040582676640).

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

470291589099360 is a wasteful number, since it uses less digits than its factorization.

470291589099360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3334 (or 3313 counting only the distinct ones).

The product of its (nonzero) digits is 264539520, while the sum is 72.

The spelling of 470291589099360 in words is "four hundred seventy trillion, two hundred ninety-one billion, five hundred eighty-nine million, ninety-nine thousand, three hundred sixty".