478208880 has 80 divisors (see below), whose sum is σ = 1647171360. Its totient is φ = 127521792.

The previous prime is 478208867. The next prime is 478208897. The reversal of 478208880 is 88802874.

478208880 is a `hidden beast` number, since 478 + 20 + 88 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108537 + ... + 112856.

It is an arithmetic number, because the mean of its divisors is an integer number (20589642).

Almost surely, 2^478208880 is an apocalyptic number.

478208880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

478208880 is an abundant number, since it is smaller than the sum of its proper divisors (1168962480).

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

478208880 is a wasteful number, since it uses less digits than its factorization.

478208880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221415 (or 221403 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 478208880 is about 21867.9875617305. The cubic root of 478208880 is about 781.9984257877.

The spelling of 478208880 in words is "four hundred seventy-eight million, two hundred eight thousand, eight hundred eighty".