470110080 has 128 divisors (see below), whose sum is σ = 1634774400. Its totient is φ = 113960960.

The previous prime is 470110079. The next prime is 470110111. The reversal of 470110080 is 80011074.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9991 + ... + 32249.

It is an arithmetic number, because the mean of its divisors is an integer number (12771675).

Almost surely, 2^470110080 is an apocalyptic number.

470110080 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 470110080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817387200).

470110080 is an abundant number, since it is smaller than the sum of its proper divisors (1164664320).

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

470110080 is a wasteful number, since it uses less digits than its factorization.

470110080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22292 (or 22280 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 470110080 is about 21682.0220459255. The cubic root of 470110080 is about 777.5587049824.

The spelling of 470110080 in words is "four hundred seventy million, one hundred ten thousand, eighty".