470845080 has 144 divisors (see below), whose sum is σ = 1615470480. Its totient is φ = 118917504.

The previous prime is 470845049. The next prime is 470845087. The reversal of 470845080 is 80548074.

470845080 is a `hidden beast` number, since 4 + 70 + 84 + 508 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470845087) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 128149 + ... + 131771.

It is an arithmetic number, because the mean of its divisors is an integer number (11218545).

Almost surely, 2^470845080 is an apocalyptic number.

470845080 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 470845080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807735240).

470845080 is an abundant number, since it is smaller than the sum of its proper divisors (1144625400).

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

470845080 is a wasteful number, since it uses less digits than its factorization.

470845080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3678 (or 3652 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 470845080 is about 21698.9649522736. The cubic root of 470845080 is about 777.9637222242.

The spelling of 470845080 in words is "four hundred seventy million, eight hundred forty-five thousand, eighty".