478470160 has 160 divisors (see below), whose sum is σ = 1350984960. Its totient is φ = 153944064.

The previous prime is 478470149. The next prime is 478470203. The reversal of 478470160 is 61074874.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2053404 + ... + 2053636.

It is an arithmetic number, because the mean of its divisors is an integer number (8443656).

Almost surely, 2^478470160 is an apocalyptic number.

478470160 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 478470160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675492480).

478470160 is an abundant number, since it is smaller than the sum of its proper divisors (872514800).

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

478470160 is a wasteful number, since it uses less digits than its factorization.

478470160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The square root of 478470160 is about 21873.9607753146. The cubic root of 478470160 is about 782.1408205701.

The spelling of 478470160 in words is "four hundred seventy-eight million, four hundred seventy thousand, one hundred sixty".