478504080 has 60 divisors (see below), whose sum is σ = 1606978620. Its totient is φ = 127600896.

The previous prime is 478504067. The next prime is 478504097. The reversal of 478504080 is 80405874.

478504080 is a `hidden beast` number, since 4 + 78 + 504 + 0 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 124010496 + 354493584 = 11136^2 + 18828^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

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 11 ways as a sum of consecutive naturals, for example, 331575 + ... + 333014.

It is an arithmetic number, because the mean of its divisors is an integer number (26782977).

Almost surely, 2^478504080 is an apocalyptic number.

478504080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

478504080 is an abundant number, since it is smaller than the sum of its proper divisors (1128474540).

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

478504080 is a wasteful number, since it uses less digits than its factorization.

478504080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664608 (or 664599 counting only the distinct ones).

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

The square root of 478504080 is about 21874.7361126940. The cubic root of 478504080 is about 782.1593028023.

The spelling of 478504080 in words is "four hundred seventy-eight million, five hundred four thousand, eighty".