478536768 has 112 divisors (see below), whose sum is σ = 1412199360. Its totient is φ = 158902272.

The previous prime is 478536763. The next prime is 478536823. The reversal of 478536768 is 867635874.

478536768 is a `hidden beast` number, since 47 + 8 + 536 + 7 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (478536763) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 806680 + ... + 807272.

Almost surely, 2^478536768 is an apocalyptic number.

478536768 is a gapful number since it is divisible by the number (48) 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 478536768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706099680).

478536768 is an abundant number, since it is smaller than the sum of its proper divisors (933662592).

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

478536768 is a wasteful number, since it uses less digits than its factorization.

478536768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1065 counting only the distinct ones).

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

The square root of 478536768 is about 21875.4832632333. The cubic root of 478536768 is about 782.1771129194.

The spelling of 478536768 in words is "four hundred seventy-eight million, five hundred thirty-six thousand, seven hundred sixty-eight".