478632960 has 528 divisors, whose sum is σ = 1931319936. Its totient is φ = 108527616.

The previous prime is 478632929. The next prime is 478633031. The reversal of 478632960 is 69236874.

478632960 is a `hidden beast` number, since 4 + 7 + 8 + 632 + 9 + 6 + 0 = 666.

478632960 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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 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, 10183657 + ... + 10183703.

Almost surely, 2^478632960 is an apocalyptic number.

478632960 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 478632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965659968).

478632960 is an abundant number, since it is smaller than the sum of its proper divisors (1452686976).

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

478632960 is a wasteful number, since it uses less digits than its factorization.

478632960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 478632960 is about 21877.6817784700. The cubic root of 478632960 is about 782.2295186035.

The spelling of 478632960 in words is "four hundred seventy-eight million, six hundred thirty-two thousand, nine hundred sixty".