478978560 has 120 divisors (see below), whose sum is σ = 1658917260. Its totient is φ = 127721472.

The previous prime is 478978559. The next prime is 478978573. The reversal of 478978560 is 65879874.

478978560 is a `hidden beast` number, since 4 + 7 + 8 + 9 + 78 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 468635904 + 10342656 = 21648^2 + 3216^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 478978497 and 478978506.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12646 + ... + 33434.

Almost surely, 2^478978560 is an apocalyptic number.

478978560 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 478978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829458630).

478978560 is an abundant number, since it is smaller than the sum of its proper divisors (1179938700).

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

478978560 is a wasteful number, since it uses less digits than its factorization.

478978560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20818 (or 20799 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 478978560 is about 21885.5788134561. The cubic root of 478978560 is about 782.4177445886.

The spelling of 478978560 in words is "four hundred seventy-eight million, nine hundred seventy-eight thousand, five hundred sixty".