478588416 has 240 divisors, whose sum is σ = 1448240640. Its totient is φ = 139898880.

The previous prime is 478588387. The next prime is 478588427. The reversal of 478588416 is 614885874.

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 23 ways as a sum of consecutive naturals, for example, 15438321 + ... + 15438351.

It is an arithmetic number, because the mean of its divisors is an integer number (6034336).

Almost surely, 2^478588416 is an apocalyptic number.

478588416 is a gapful number since it is divisible by the number (46) 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 478588416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724120320).

478588416 is an abundant number, since it is smaller than the sum of its proper divisors (969652224).

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

478588416 is a wasteful number, since it uses less digits than its factorization.

478588416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 78 counting only the distinct ones).

The product of its digits is 1720320, while the sum is 51.

The square root of 478588416 is about 21876.6637310171. The cubic root of 478588416 is about 782.2052517745.

The spelling of 478588416 in words is "four hundred seventy-eight million, five hundred eighty-eight thousand, four hundred sixteen".