478473760 has 48 divisors (see below), whose sum is σ = 1134495936. Its totient is φ = 190695168.

The previous prime is 478473739. The next prime is 478473769. The reversal of 478473760 is 67374874.

It is a self number, because there is not a number n which added to its sum of digits gives 478473760.

It is not an unprimeable number, because it can be changed into a prime (478473769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39997 + ... + 50563.

It is an arithmetic number, because the mean of its divisors is an integer number (23635332).

Almost surely, 2^478473760 is an apocalyptic number.

478473760 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 478473760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567247968).

478473760 is an abundant number, since it is smaller than the sum of its proper divisors (656022176).

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

478473760 is a wasteful number, since it uses less digits than its factorization.

478473760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10865 (or 10857 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 46.

The square root of 478473760 is about 21874.0430647834. The cubic root of 478473760 is about 782.1427821692.

The spelling of 478473760 in words is "four hundred seventy-eight million, four hundred seventy-three thousand, seven hundred sixty".