470085016320 has 432 divisors, whose sum is σ = 1691178128640. Its totient is φ = 125022154752.

The previous prime is 470085016319. The next prime is 470085016339. The reversal of 470085016320 is 23610580074.

470085016320 is a `hidden beast` number, since 4 + 70 + 0 + 8 + 501 + 63 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130323957 + ... + 130327563.

Almost surely, 2^470085016320 is an apocalyptic number.

470085016320 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 470085016320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845589064320).

470085016320 is an abundant number, since it is smaller than the sum of its proper divisors (1221093112320).

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

470085016320 is an equidigital number, since it uses as much as digits as its factorization.

470085016320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4062 (or 4036 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 470085016320 its reverse (23610580074), we get a palindrome (493695596394).

The spelling of 470085016320 in words is "four hundred seventy billion, eighty-five million, sixteen thousand, three hundred twenty".