478486080 has 336 divisors, whose sum is σ = 1808043120. Its totient is φ = 115605504.

The previous prime is 478486079. The next prime is 478486081. The reversal of 478486080 is 80684874.

478486080 is a `hidden beast` number, since 478 + 48 + 60 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (478486079) and next prime (478486081).

It can be written as a sum of positive squares in 8 ways, for example, as 451584 + 478034496 = 672^2 + 21864^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (478486081) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1419672 + ... + 1420008.

Almost surely, 2^478486080 is an apocalyptic number.

478486080 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 478486080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904021560).

478486080 is an abundant number, since it is smaller than the sum of its proper divisors (1329557040).

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

478486080 is a wasteful number, since it uses less digits than its factorization.

478486080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 478486080 is about 21874.3246752900. The cubic root of 478486080 is about 782.1494951228.

The spelling of 478486080 in words is "four hundred seventy-eight million, four hundred eighty-six thousand, eighty".