478416160 has 48 divisors (see below), whose sum is σ = 1151604216. Its totient is φ = 187752448.

The previous prime is 478416157. The next prime is 478416173. The reversal of 478416160 is 61614874.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 437813776 + 40602384 = 20924^2 + 6372^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19729 + ... + 36688.

Almost surely, 2^478416160 is an apocalyptic number.

478416160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

478416160 is an abundant number, since it is smaller than the sum of its proper divisors (673188056).

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

478416160 is a wasteful number, since it uses less digits than its factorization.

478416160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56485 (or 56477 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 478416160 is about 21872.7263961309. The cubic root of 478416160 is about 782.1113954030. Note that the first 3 decimals are identical.

The spelling of 478416160 in words is "four hundred seventy-eight million, four hundred sixteen thousand, one hundred sixty".