470920320 has 384 divisors, whose sum is σ = 1848974400. Its totient is φ = 109486080.

The previous prime is 470920291. The next prime is 470920327. The reversal of 470920320 is 23029074.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (470920327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1422555 + ... + 1422885.

Almost surely, 2^470920320 is an apocalyptic number.

470920320 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 470920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924487200).

470920320 is an abundant number, since it is smaller than the sum of its proper divisors (1378054080).

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

470920320 is a wasteful number, since it uses less digits than its factorization.

470920320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 470920320 is about 21700.6986062661. The cubic root of 470920320 is about 778.0051589765.

Adding to 470920320 its reverse (23029074), we get a palindrome (493949394).

The spelling of 470920320 in words is "four hundred seventy million, nine hundred twenty thousand, three hundred twenty".