470317320 has 384 divisors, whose sum is σ = 1781136000. Its totient is φ = 110246400.

The previous prime is 470317303. The next prime is 470317321. The reversal of 470317320 is 23713074.

470317320 is a `hidden beast` number, since 470 + 3 + 173 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470317321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7710090 + ... + 7710150.

It is an arithmetic number, because the mean of its divisors is an integer number (4638375).

Almost surely, 2^470317320 is an apocalyptic number.

470317320 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 470317320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890568000).

470317320 is an abundant number, since it is smaller than the sum of its proper divisors (1310818680).

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

470317320 is a wasteful number, since it uses less digits than its factorization.

470317320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 470317320 is about 21686.8005939097. The cubic root of 470317320 is about 777.6729460222.

The spelling of 470317320 in words is "four hundred seventy million, three hundred seventeen thousand, three hundred twenty".