470393800320 has 256 divisors, whose sum is σ = 1537218466560. Its totient is φ = 122277888000.

The previous prime is 470393800313. The next prime is 470393800321. The reversal of 470393800320 is 23008393074.

It is not an unprimeable number, because it can be changed into a prime (470393800321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168538125 + ... + 168540915.

It is an arithmetic number, because the mean of its divisors is an integer number (6004759635).

Almost surely, 2^470393800320 is an apocalyptic number.

470393800320 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 470393800320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768609233280).

470393800320 is an abundant number, since it is smaller than the sum of its proper divisors (1066824666240).

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

470393800320 is a wasteful number, since it uses less digits than its factorization.

470393800320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4995 (or 4983 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The spelling of 470393800320 in words is "four hundred seventy billion, three hundred ninety-three million, eight hundred thousand, three hundred twenty".