478399080 has 256 divisors, whose sum is σ = 1596672000. Its totient is φ = 114250752.

The previous prime is 478399069. The next prime is 478399087. The reversal of 478399080 is 80993874.

478399080 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (478399087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3441651 + ... + 3441789.

It is an arithmetic number, because the mean of its divisors is an integer number (6237000).

Almost surely, 2^478399080 is an apocalyptic number.

478399080 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 478399080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798336000).

478399080 is an abundant number, since it is smaller than the sum of its proper divisors (1118272920).

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

478399080 is a wasteful number, since it uses less digits than its factorization.

478399080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 478399080 is about 21872.3359520651. The cubic root of 478399080 is about 782.1020878707.

The spelling of 478399080 in words is "four hundred seventy-eight million, three hundred ninety-nine thousand, eighty".