478635768 has 192 divisors, whose sum is σ = 1450219680. Its totient is φ = 141696000.

The previous prime is 478635767. The next prime is 478635793. The reversal of 478635768 is 867536874.

478635768 is a `hidden beast` number, since 4 + 7 + 8 + 63 + 576 + 8 = 666.

Its product of digits (6773760) is a multiple of the sum of its prime factors (270).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (478635761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4738918 + ... + 4739018.

Almost surely, 2^478635768 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 478635768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725109840).

478635768 is an abundant number, since it is smaller than the sum of its proper divisors (971583912).

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

478635768 is a wasteful number, since it uses less digits than its factorization.

478635768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 263 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 478635768 is about 21877.7459533655. The cubic root of 478635768 is about 782.2310483047.

The spelling of 478635768 in words is "four hundred seventy-eight million, six hundred thirty-five thousand, seven hundred sixty-eight".