478146816 has 216 divisors, whose sum is σ = 1645338240. Its totient is φ = 130572288.

The previous prime is 478146791. The next prime is 478146817. The reversal of 478146816 is 618641874.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (478146817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 370300 + ... + 371588.

Almost surely, 2^478146816 is an apocalyptic number.

478146816 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 478146816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822669120).

478146816 is an abundant number, since it is smaller than the sum of its proper divisors (1167191424).

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

478146816 is a wasteful number, since it uses less digits than its factorization.

478146816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1324 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 478146816 is about 21866.5684550640. The cubic root of 478146816 is about 781.9645939539.

The spelling of 478146816 in words is "four hundred seventy-eight million, one hundred forty-six thousand, eight hundred sixteen".