478578688 has 144 divisors (see below), whose sum is σ = 1176411600. Its totient is φ = 193536000.

The previous prime is 478578673. The next prime is 478578689. The reversal of 478578688 is 886875874.

It is not an unprimeable number, because it can be changed into a prime (478578689) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1906563 + ... + 1906813.

It is an arithmetic number, because the mean of its divisors is an integer number (8169525).

Almost surely, 2^478578688 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 478578688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588205800).

478578688 is an abundant number, since it is smaller than the sum of its proper divisors (697832912).

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

478578688 is a wasteful number, since it uses less digits than its factorization.

478578688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 279 counting only the distinct ones).

The product of its digits is 24084480, while the sum is 61.

The square root of 478578688 is about 21876.4413925117. The cubic root of 478578688 is about 782.1999519218.

It can be divided in two parts, 4785786 and 88, that added together give a palindrome (4785874).

The spelling of 478578688 in words is "four hundred seventy-eight million, five hundred seventy-eight thousand, six hundred eighty-eight".