478317312 has 252 divisors, whose sum is σ = 1568332584. Its totient is φ = 144322560.

The previous prime is 478317293. The next prime is 478317319. The reversal of 478317312 is 213713874.

478317312 is a `hidden beast` number, since 478 + 3 + 173 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (478317319) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2052748 + ... + 2052980.

It is an arithmetic number, because the mean of its divisors is an integer number (6223542).

Almost surely, 2^478317312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478317312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784166292).

478317312 is an abundant number, since it is smaller than the sum of its proper divisors (1090015272).

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

478317312 is an equidigital number, since it uses as much as digits as its factorization.

478317312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 249 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 478317312 is about 21870.4666616879. The cubic root of 478317312 is about 782.0575263529.

The spelling of 478317312 in words is "four hundred seventy-eight million, three hundred seventeen thousand, three hundred twelve".